Dobrokhotov, Sergey Yu.

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Total publications: 125
Scientific articles: 112
Presentations: 31

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Dobrokhotov, Sergey Yu.
Doctor of physico-mathematical sciences (1989)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 5.05.1950
Keywords: asymptotics, semiclassical and adiabatic approximations, waves, vortices, inhomogeneous media


Asymptotic and operator methods, mathematical physics, equations of quantum and continuum mechanics, low-dimensional structures and waveguides, homogenization


In 1967 I graduated from the school. N 2 in Moscow. In 1967-1973 I studied at the Faculty of Applied Mathematics at the Moscow Institute of Electronic Engineering. In 1973-1987, I studied in graduate school and worked in various positions at the Department of Applied Mathematics at the Kuibyshev Moscow Institute of Civil Engineering. In 1977 I defended my PhD thesis in the specialty mathematical physics (adviser V.P.Maslov) Since 1987, I have been working at the Ishlinsky Institute for Problems in Mechanical of the Russian Academy of Sciences, currently Chief Researcher and Head of the Laboratory. In 1989, I defended my doctoral dissertation in the specialty mathematical physics. Since 2006, I have been a part-time Head of the Department of Mathematics and Mathematical Methods of Physics at the Moscow Institute of Physics an Technology. Since 1973, I have been lecturing on general and special mathematical courses. In particular, in various years I taught special courses on asymptotic methods at Moscow Institute of Physics and Technology and at the Physical and Mechanical-Mathematical Faculties of Lomonosov Moscow State University. 13 people defended their PhD theses under my supervision, 3 of them are now doctors of science. I have participated and continue to participate, usually as a supervisor or coordinator, in various Russian scientific projects and scientific projects of other countries.I have more than 220 scientific publications.

Main publications:
  • 1)S. Yu. Dobrokhotov, V. P. Maslov, “Finite-zone almost periodic solutions in WKB-approximations”, J. Soviet Math., 16:6 (1981), 1433–1487
  • 2) V. V. Belov, S. Yu. Dobrokhotov, “Semiclassical Maslov asymptotics with complex phases. I. General approach”, Theoret. and Math. Phys., 92:2 (1992), 843–868
  • 3)V. V. Belov, S. Yu. Dobrokhotov, T. Ya. Tudorovskiy, “Operator separation of variables for adiabatic problems in quantum and wave mechanics”, J. Eng. Math., 55:1-4 (2006) 183-237
  • 4)S. Yu. Dobrokhotov, A.I.Shafarevich, B.Tirozzi, “Localized Wave and Vortical Solutions to Linear Hyperbolic Systems and Their Application to the Linear Shallow Water Equation”, Russ.J.Math.Phys. 15: 2,(2008), 192-221
  • 5) S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “New integral representations of the Maslov canonical operator in singular charts”, Izv. Math., 81:2 (2017), 286–328
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
1. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for two-dimensional standing coastal waves”, Algebra i Analiz, 33:2 (2021),  5–34  mathnet
2. S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “Efficient asymptotics of solutions in the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations”, Uspekhi Mat. Nauk, 76:5(461) (2021),  3–80  mathnet
3. S. Yu. Dobrokhotov, D. S. Minenkov, V. E. Nazaikinskii, “Representations of Bessel functions via the Maslov canonical operator”, TMF, 208:2 (2021),  196–217  mathnet  elib; Theoret. and Math. Phys., 208:2 (2021), 1018–1037  isi  scopus
4. S. Yu. Dobrokhotov, H. H. Ilyasov, O. L. Tolstova, “Simple Solutions to the Linear Problem of the Generation of Long Waves on the Surface of a Liquid by a Source in an Elastic Foundation Bottom”, Izvestiya RAN, MTT, 2020, 4,  126–139  mathnet  elib; Mechanics of Solids, 55:4 (2020), 561–572  isi  scopus
5. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Lagrangian Manifolds and Efficient Short-Wave Asymptotics in a Neighborhood of a Caustic Cusp”, Mat. Zametki, 108:3 (2020),  334–359  mathnet  mathscinet  elib; Math. Notes, 108:3 (2020), 318–338  isi  scopus
6. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Uniformization of Equations with Bessel-Type Boundary Degeneration and Semiclassical Asymptotics”, Mat. Zametki, 107:5 (2020),  780–786  mathnet  mathscinet  elib; Math. Notes, 107:5 (2020), 847–853  isi  scopus
7. A. Yu. Anikin, S. Yu. Dobrokhotov, A. V. Tsvetkova, “Airy function and transition between the semiclassical and harmonic oscillator approximations for one-dimensional bound states”, TMF, 204:2 (2020),  171–180  mathnet  mathscinet  elib; Theoret. and Math. Phys., 204:2 (2020), 984–992  isi  scopus
8. S. Yu. Dobrokhotov, M. V. Klimenko, I. A. Nosikov, A. A. Tolchennikov, “Variational method for computing ray trajectories and fronts of tsunami waves generated by a localized source”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020),  1439–1448  mathnet  elib; Comput. Math. Math. Phys., 60:8 (2020), 1392–1401  isi  scopus
9. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020),  1394–1407  mathnet  elib; Comput. Math. Math. Phys., 60:8 (2020), 1348–1360  isi  scopus
10. S. Yu. Dobrokhotov, Kh. Kh. Ilyasov, S. Ya. Sekerzh-Zenkovich, O. L. Tolstova, “Simple solutions to the wave problem on the surface of a fluid with the linear hydroelastic model”, Dokl. Akad. Nauk, 487:4 (2019),  370–375  mathnet  elib; Doklady Physics, 64:8 (2019), 319–324  isi  scopus
11. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Asymptotic eigenfunctions of the operator $\nabla D(x)\nabla$ defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls”, Differ. Uravn., 55:5 (2019),  660–672  mathnet  mathscinet  zmath  elib; Differ. Equ., 55:5 (2019), 644–657  isi  scopus
12. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the $\nabla D(x)\nabla$ Operator in Dimension 2 and Trapped Coastal Waves”, Mat. Zametki, 105:5 (2019),  792–797  mathnet  mathscinet  elib; Math. Notes, 105:5 (2019), 789–794  isi  scopus
13. Sergei Yu. Dobrokhotov, Dmitrii S. Minenkov, Anatoly I. Neishtadt, Semen B. Shlosman, “Classical and Quantum Dynamics of a Particle in a Narrow Angle”, Regul. Chaotic Dyn., 24:6 (2019),  704–716  mathnet  isi  scopus
14. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator $-\frac{d}{dx}D(x)\frac{d}{dx}$”, Trudy Mat. Inst. Steklova, 306 (2019),  83–99  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 306 (2019), 74–89  isi  scopus
15. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems”, TMF, 201:3 (2019),  382–414  mathnet  mathscinet  elib; Theoret. and Math. Phys., 201:3 (2019), 1742–1770  isi  scopus
16. P. N. Petrov, S. Yu. Dobrokhotov, “Asymptotic solution of the Helmholtz equation in a three-dimensional layer of variable thickness with a localized right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019),  566–578  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 59:4 (2019), 529–541  isi  scopus
17. Anatoly Anikin, Sergey Dobrokhotov, Vladimir Nazaikinskii, “Asymptotic solutions of the wave equation with degenerate velocity and with right-hand side localized in space and time”, Zh. Mat. Fiz. Anal. Geom., 14:4 (2018),  393–405  mathnet  isi
18. A. V. Aksenov, S. Yu. Dobrokhotov, K. P. Druzhkov, “Exact Step-Like Solutions of One-Dimensional Shallow-Water Equations over a Sloping Bottom”, Mat. Zametki, 104:6 (2018),  930–936  mathnet  mathscinet  elib; Math. Notes, 104:6 (2018), 915–921  isi  scopus
19. S. Yu. Dobrokhotov, A. V. Tsvetkova, “Lagrangian Manifolds Related to the Asymptotics of Hermite Polynomials”, Mat. Zametki, 104:6 (2018),  835–850  mathnet  mathscinet  elib; Math. Notes, 104:6 (2018), 810–822  isi  scopus
20. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Simple Asymptotics for a Generalized Wave Equation with Degenerating Velocity and Their Applications in the Linear Long Wave Run-Up Problem”, Mat. Zametki, 104:4 (2018),  483–504  mathnet  mathscinet  elib; Math. Notes, 104:4 (2018), 471–488  isi  scopus
21. S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “One Approach to the Computation of Asymptotics of Integrals of Rapidly Varying Functions”, Mat. Zametki, 103:5 (2018),  680–692  mathnet  mathscinet  elib; Math. Notes, 103:5 (2018), 33–43  isi  scopus
22. S. Yu. Dobrokhotov, O. L. Tolstova, S. Ya. Sekerzh-Zenkovich, C. A. Vargas, “Influence of the Elastic Base of a Basin on the Propagation of Waves on the Water Surface”, Russ. J. Math. Phys., 25:4 (2018),  459–469  mathnet  mathscinet  isi  scopus
23. S. Yu. Dobrokhotov, D. S. Minenkov, S. B. Shlosman, “Asymptotics of wave functions of the stationary Schrödinger equation in the Weyl chamber”, TMF, 197:2 (2018),  269–278  mathnet  mathscinet  elib; Theoret. and Math. Phys., 197:2 (2018), 1626–1634  isi  scopus
24. A. Yu. Anikin, S. Yu. Dobrokhotov, A. I. Klevin, B. Tirozzi, “Gausian packets and beams with focal points in vector problems of plasma physics”, TMF, 196:1 (2018),  135–160  mathnet  mathscinet  elib; Theoret. and Math. Phys., 196:1 (2018), 1059–1081  isi  scopus
25. S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich, “New integral representations of the Maslov canonical operator in singular charts”, Izv. RAN. Ser. Mat., 81:2 (2017),  53–96  mathnet  mathscinet  elib; Izv. Math., 81:2 (2017), 286–328  isi  scopus
26. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “On the Asymptotics of a Bessel-Type Integral Having Applications in Wave Run-Up Theory”, Mat. Zametki, 102:6 (2017),  828–835  mathnet  elib; Math. Notes, 102:6 (2017), 756–762  isi  scopus
27. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Punctured Lagrangian manifolds and asymptotic solutions of linear water wave equations with localized initial conditions”, Mat. Zametki, 101:6 (2017),  936–943  mathnet  mathscinet  elib; Math. Notes, 101:6 (2017), 1053–1060  isi  scopus
28. S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. A. Tolchennikov, “Uniform Asymptotics of the Boundary Values of the Solution in a Linear Problem on the Run-Up of Waves on a Shallow Beach”, Mat. Zametki, 101:5 (2017),  700–715  mathnet  mathscinet  elib; Math. Notes, 101:5 (2017), 802–814  isi  scopus
29. A. Yu. Anikin, S. Yu. Dobrokhotov, A. I. Klevin, B. Tirozzi, “Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics”, TMF, 193:3 (2017),  409–433  mathnet  elib; Theoret. and Math. Phys., 193:3 (2017), 1761–1782  isi  scopus
30. V. P. Maslov, S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics”, Mat. Zametki, 100:6 (2016),  855–867  mathnet  mathscinet  elib; Math. Notes, 100:6 (2016), 828–834  isi  scopus
31. S. Yu. Dobrokhotov, A. Yu. Anikin, “Approximation of Solutions of the Two-Dimensional Wave Equation with Variable Velocity and Localized Right-Hand Side Using Some “Simple” Solutions”, Mat. Zametki, 100:6 (2016),  825–837  mathnet  mathscinet  elib; Math. Notes, 100:6 (2016), 796–806  isi  scopus
32. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Characteristics with Singularities and the Boundary Values of the Asymptotic Solution of the Cauchy Problem for a Degenerate Wave Equation”, Mat. Zametki, 100:5 (2016),  710–731  mathnet  mathscinet  elib; Math. Notes, 100:5 (2016), 695–713  isi  scopus
33. A. Yu. Anikin, S. Yu. Dobrokhotov, M. I. Katsnel'son, “Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers”, TMF, 188:2 (2016),  288–317  mathnet  mathscinet  elib; Theoret. and Math. Phys., 188:2 (2016), 1210–1235  isi  scopus
34. J. Brüning, S. Yu. Dobrokhotov, M. I. Katsnel'son, D. S. Minenkov, “Semiclassical asymptotic approximations and the density of states for the two-dimensional radially symmetric Schrödinger and Dirac equations in tunnel microscopy problems”, TMF, 186:3 (2016),  386–400  mathnet  mathscinet  elib; Theoret. and Math. Phys., 186:3 (2016), 333–345  isi  scopus
35. A. Yu. Anikin, J. Brüning, S. Yu. Dobrokhotov, “Averaging and trajectories of a Hamiltonian system appearing in graphene placed in a strong magnetic field and a periodic potential”, Fundam. Prikl. Mat., 20:2 (2015),  5–20  mathnet  mathscinet  elib; J. Math. Sci., 223:6 (2017), 656–666
36. S. Yu. Dobrokhotov, D. S. Minenkov, M. Rouleux, “The Maupertuis–Jacobi Principle for Hamiltonians of the Form $F(x,|p|)$ in Two-Dimensional Stationary Semiclassical Problems”, Mat. Zametki, 97:1 (2015),  48–57  mathnet  mathscinet  zmath  elib; Math. Notes, 97:1 (2015), 42–49  isi  scopus
37. V. V. Grushin, S. Yu. Dobrokhotov, “Homogenization in the Problem of Long Water Waves over a Bottom Site with Fast Oscillations”, Mat. Zametki, 95:3 (2014),  359–375  mathnet  mathscinet  elib; Math. Notes, 95:3 (2014), 324–337  isi  elib  scopus
38. S. Yu. Dobrokhotov, G. N. Makrakis, V. E. Nazaikinskii, “Maslov's canonical operator, Hörmander's formula, and localization of the Berry–Balazs solution in the theory of wave beams”, TMF, 180:2 (2014),  162–188  mathnet  mathscinet  elib; Theoret. and Math. Phys., 180:2 (2014), 894–916  isi  elib  scopus
39. Yu. A. Chirkunov, S. Yu. Dobrokhotov, S. B. Medvedev, D. S. Minenkov, “Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms”, TMF, 178:3 (2014),  322–345  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 178:3 (2014), 278–298  isi  scopus
40. S. Yu. Dobrokhotov, S. B. Medvedev, D. S. Minenkov, “On Replacements Reducing One-Dimensional Systems of Shallow-Water Equations to the Wave Equation with Sound Speed $c^2=x$”, Mat. Zametki, 93:5 (2013),  716–727  mathnet  mathscinet  zmath  elib; Math. Notes, 93:5 (2013), 704–714  isi  elib  scopus
41. V. V. Grushin, S. Yu. Dobrokhotov, S. A. Sergeev, “Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source”, Trudy Mat. Inst. Steklova, 281 (2013),  170–187  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 281 (2013), 161–178  isi  elib
42. S. Yu. Dobrokhotov, G. N. Makrakis, V. E. Nazaikinskii, T. Ya. Tudorovskii, “New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics”, TMF, 177:3 (2013),  355–386  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 177:3 (2013), 1579–1605  isi  elib  scopus
43. J. Brüning, S. Yu. Dobrokhotov, R. V. Nekrasov, “Splitting of lower energy levels in a quantum double well in a magnetic field and tunneling of wave packets in nanowires”, TMF, 175:2 (2013),  206–225  mathnet  zmath  elib; Theoret. and Math. Phys., 175:2 (2013), 620–636  isi  elib  scopus
44. J. Brüning, V. V. Grushin, S. Yu. Dobrokhotov, “Averaging of Linear Operators, Adiabatic Approximation, and Pseudodifferential Operators”, Mat. Zametki, 92:2 (2012),  163–180  mathnet  mathscinet  zmath  elib; Math. Notes, 92:2 (2012), 151–165  isi  elib  scopus
45. J. Brüning, V. V. Grushin, S. Yu. Dobrokhotov, T. Ya. Tudorovskii, “Generalized Foldy–Wouthuysen transformation and pseudodifferential operators”, TMF, 167:2 (2011),  171–192  mathnet  mathscinet; Theoret. and Math. Phys., 167:2 (2011), 547–566  isi  scopus
46. S. Yu. Dobrokhotov, D. S. Minenkov, “Remark on the phase shift in the Kuzmak–Whitham ansatz”, TMF, 166:3 (2011),  350–365  mathnet  mathscinet; Theoret. and Math. Phys., 166:3 (2011), 303–316  isi  scopus
47. S. Yu. Dobrokhotov, V. E. Nazaĭkinskiĭ, B. Tirozzi, “Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data”, Algebra i Analiz, 22:6 (2010),  67–90  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:6 (2011), 895–911  isi  scopus
48. S. Yu. Dobrokhotov, S. Ya. Sekerzh-Zen'kovich, “A Class of Exact Algebraic Localized Solutions of the Multidimensional Wave Equation”, Mat. Zametki, 88:6 (2010),  942–945  mathnet  mathscinet; Math. Notes, 88:6 (2010), 894–897  isi  scopus
49. V. V. Grushin, S. Yu. Dobrokhotov, “Peierls Substitution and the Maslov Operator Method”, Mat. Zametki, 87:4 (2010),  554–571  mathnet  mathscinet  zmath; Math. Notes, 87:4 (2010), 521–536  isi  scopus
50. S. Yu. Dobrokhotov, M. Rouleux, “The Semiclassical Maupertuis–Jacobi Correspondence and Applications to Linear Water Waves Theory”, Mat. Zametki, 87:3 (2010),  458–463  mathnet  mathscinet  zmath  elib; Math. Notes, 87:3 (2010), 430–435  isi  scopus
51. S. Yu. Dobrokhotov, B. Tirozzi, “Localized solutions of one-dimensional non-linear shallow-water equations with velocity $c=\sqrt x$”, Uspekhi Mat. Nauk, 65:1(391) (2010),  185–186  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 65:1 (2010), 177–179  isi  elib  scopus
52. J. Brüning, S. Yu. Dobrokhotov, R. V. Nekrasov, A. I. Shafarevich, “Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity”, TMF, 155:2 (2008),  215–235  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 155:2 (2008), 689–707  isi  scopus
53. S. Yu. Dobrokhotov, B. Tirozzi, A. I. Shafarevich, “Representations of Rapidly Decreasing Functions by the Maslov Canonical Operator”, Mat. Zametki, 82:5 (2007),  792–796  mathnet  mathscinet  zmath  elib; Math. Notes, 82:5 (2007), 713–717  isi  scopus
54. J. Brüening, S. Yu. Dobrokhotov, E. S. Semenov, “Unstable closed trajectories, librations and splitting of the lowest eigenvalues in quantum double well problem”, Regul. Chaotic Dyn., 11:2 (2006),  167–180  mathnet  mathscinet  zmath
55. S. A. Albeverio, S. Yu. Dobrokhotov, M. A. Poteryakhin, “Non-Self-Adjointness of Operators with Small Diffusion”, Mat. Zametki, 78:6 (2005),  941–942  mathnet  mathscinet  zmath  elib; Math. Notes, 78:6 (2005), 874–876  isi  scopus
56. S. Yu. Dobrokhotov, E. S. Semenov, B. Tirozzi, “Hugoniot–Maslov Chains for the System of Shallow-Water Equations Taking into Account Energy Exchange”, Mat. Zametki, 78:5 (2005),  796–799  mathnet  mathscinet  zmath  elib; Math. Notes, 78:5 (2005), 740–743  isi  elib  scopus
57. V. V. Belov, S. Yu. Dobrokhotov, V. P. Maslov, T. Ya. Tudorovskii, “A generalized adiabatic principle for electron dynamics in curved nanostructures”, UFN, 175:9 (2005),  1004–1010  mathnet  elib; Phys. Usp., 48:9 (2005), 962–968  isi  elib
58. S. Yu. Dobrokhotov, M. A. Poteryakhin, “Normal Forms near Two-Dimensional Resonance Tori for the Multidimensional Anharmonic Oscillator”, Mat. Zametki, 76:5 (2004),  701–713  mathnet  mathscinet  zmath  elib; Math. Notes, 76:5 (2004), 653–664  isi  scopus
59. V. V. Belov, S. Yu. Dobrokhotov, T. Ya. Tudorovskii, “Asymptotic Solutions of Nonrelativistic Equations of Quantum Mechanics in Curved Nanotubes: I. Reduction to Spatially One-Dimensional Equations”, TMF, 141:2 (2004),  267–303  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 141:2 (2004), 1562–1592  isi
60. S. Yu. Dobrokhotov, E. S. Semenov, B. Tirozzi, “Calculation of Integrals of the Hugoniot–Maslov Chain for Singular Vortical Solutions of the Shallow-Water Equation”, TMF, 139:1 (2004),  62–76  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 139:1 (2004), 500–512  isi
61. S. Yu. Dobrokhotov, E. S. Semenov, B. Tirozzi, “Hugoniót–Maslov Chains for Singular Vortical Solutions to Quasilinear Hyperbolic Systems and Typhoon Trajectory”, CMFD, 2 (2003),  5–44  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 124:5 (2004), 5209–5249
62. J. Brüning, S. Yu. Dobrokhotov, V. A. Geiler, K. Pankrashkin, “Hall conductivity of minibands lying at the wings of Landau levels”, Pis'ma v Zh. Èksper. Teoret. Fiz., 77:11 (2003),  743–746  mathnet; JETP Letters, 77:11 (2003), 616–618  scopus
63. V. V. Belov, S. Yu. Dobrokhotov, S. O. Sinitsyn, “Asymptotic solutions of the Schrödinger equation in thin tubes”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003),  15–25  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S13–S23
64. V. V. Belov, S. Yu. Dobrokhotov, V. A. Maksimov, “Explicit Formulas for Generalized Action–Angle Variables in a Neighborhood of an Isotropic Torus and Their Application”, TMF, 135:3 (2003),  378–408  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 135:3 (2003), 765–791  isi
65. J. Brüning, S. Yu. Dobrokhotov, M. A. Poteryakhin, “Integral Representation of Analytical Solutions of the Equation $yf_x'-xf_y'=g(x,y)$”, Mat. Zametki, 72:4 (2002),  633–634  mathnet  mathscinet  zmath; Math. Notes, 72:4 (2002), 583–585  isi  scopus
66. J. Brüning, S. Yu. Dobrokhotov, K. V. Pankrashin, “The Asymptotic Form of the Lower Landau Bands in a Strong Magnetic Field”, TMF, 131:2 (2002),  304–331  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 131:2 (2002), 704–728  isi
67. J. Brüning, S. Yu. Dobrokhotov, M. A. Poteryakhin, “Averaging for Hamiltonian Systems with One Fast Phase and Small Amplitudes”, Mat. Zametki, 70:5 (2001),  660–669  mathnet  mathscinet  zmath  elib; Math. Notes, 70:5 (2001), 599–607  isi
68. V. V. Belov, O. S. Dobrokhotov, S. Yu. Dobrokhotov, “Isotropic Tori, Complex Germ and Maslov Index, Normal Forms and Quasimodes of Multidimensional Spectral Problems”, Mat. Zametki, 69:4 (2001),  483–514  mathnet  mathscinet  zmath  elib; Math. Notes, 69:4 (2001), 437–466  isi
69. S. Yu. Dobrokhotov, A. I. Shafarevich, “Tunnel Splitting of the Spectrum of the Beltrami–Laplace Operators on Two-Dimensional Surfaces with Square Integrable Geodesic Flow”, Funktsional. Anal. i Prilozhen., 34:2 (2000),  67–69  mathnet  mathscinet  zmath; Funct. Anal. Appl., 34:2 (2000), 133–134  isi
70. R. O. Hryniv, S. Yu. Dobrokhotov, A. A. Shkalikov, “An operator model for the oscillation problem of liquids on an elastic bottom”, Mat. Zametki, 68:1 (2000),  66–81  mathnet  mathscinet  zmath; Math. Notes, 68:1 (2000), 57–70  isi
71. S. Yu. Dobrokhotov, “Integrability of truncated Hugoniot–Maslov chains for trajectories of mesoscale vortices on shallow water”, TMF, 125:3 (2000),  491–518  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 125:3 (2000), 1724–1741
72. A. Boutet de Monvel, S. Yu. Dobrokhotov, “Random perturbations of invariant Lagrangian tori of Hamiltonian vector fields”, Mat. Zametki, 64:5 (1998),  783–787  mathnet  mathscinet  zmath; Math. Notes, 64:5 (1998), 674–679  isi
73. S. Yu. Dobrokhotov, “Integrability by quadratures of Hamiltonian $2n$-dimensional systems with $n$ known skew-orthogonal solutions”, Uspekhi Mat. Nauk, 53:2(320) (1998),  143–144  mathnet  mathscinet  zmath; Russian Math. Surveys, 53:2 (1998), 380–381  isi  scopus
74. S. Yu. Dobrokhotov, “Hugoniot–Maslov chains for trajectories of point vortex singularities of shallow water equations, and the Hill equation”, Dokl. Akad. Nauk, 354:5 (1997),  600–603  mathnet  mathscinet  zmath
75. S. Yu. Dobrokhotov, “Reduction of Hugoniot–Maslov chains for trajectories of solitary vortices of the “shallow water” equations to the Hill equation”, TMF, 112:1 (1997),  47–66  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 112:1 (1997), 827–843  isi
76. S. Yu. Dobrokhotov, V. Martìnez Olivè, “Lissajous figures, two-dimensional tori, and the spectral series of a three-dimensional anharmonic oscillator”, Algebra i Analiz, 8:2 (1996),  121–128  mathnet  mathscinet  zmath; St. Petersburg Math. J., 8:2 (1997), 273–279
77. S. Yu. Dobrokhotov, “On the reduction to Hill's equation of a Hugoniot–Maslov chain for trajectories of pointwise singularities of shallow water equation”, Uspekhi Mat. Nauk, 51:6(312) (1996),  203–204  mathnet  mathscinet  zmath; Russian Math. Surveys, 51:6 (1996), 1195–1197  isi
78. S. Yu. Dobrokhotov, O. L. Tolstova, “Asymptotic eigenfunctions and generalized eigenfunctions of an operator related to wave motions of a fluid over an elastic slightly nonflat bottom”, Mat. Zametki, 58:6 (1995),  917–922  mathnet  mathscinet  zmath; Math. Notes, 58:6 (1995), 1336–1340  isi
79. S. Yu. Dobrokhotov, V. N. Kolokoltsov, V. Martines Olive, “Asymptotically stable invariant tori of a vector field $V(x)$ and the quasimodes of the operator $V(x)\cdot\nabla-\varepsilon\Delta$”, Mat. Zametki, 58:2 (1995),  301–306  mathnet  mathscinet  zmath; Math. Notes, 58:2 (1995), 880–884  isi
80. V. V. Bulatov, Yu. V. Vladimirov, V. G. Danilov, S. Yu. Dobrokhotov, “An example of the computation of the “eye” of a hurricane based on a conjecture of V. P. Maslov”, Dokl. Akad. Nauk, 338:1 (1994),  102–105  mathnet  mathscinet
81. V. V. Belov, S. Yu. Dobrokhotov, V. Martines Olive, “Some quasiclassical spectral series in a quantum anisotropic Kepler problem”, Dokl. Akad. Nauk, 331:2 (1993),  150–154  mathnet  mathscinet  zmath; Dokl. Math., 38:7 (1993), 263–266
82. S. Yu. Dobrokhotov, O. L. Tolstova, I. Yu. Chudinovich, “Waves in a fluid over an elastic bottom. The existence theorem and exact solutions”, Mat. Zametki, 54:6 (1993),  33–55  mathnet  mathscinet  zmath; Math. Notes, 54:6 (1993), 1208–1222  isi
83. S. Yu. Dobrokhotov, V. Martines Olive, “Localized asymptotic solutions of the magneto dynamo equation in $ABC$ fields”, Mat. Zametki, 54:4 (1993),  45–68  mathnet  mathscinet  zmath; Math. Notes, 54:4 (1993), 1010–1025  isi
84. S. Yu. Dobrokhotov, P. N. Zhevandrov, V. M. Kuzmina, “Asymptotics of the solution of the Cauchy–Poisson problem in a layer of nonconstant thickness”, Mat. Zametki, 53:6 (1993),  141–145  mathnet  mathscinet  zmath; Math. Notes, 53:6 (1993), 657–660  isi
85. S. Yu. Dobrokhotov, A. I. Shafarevich, “Some asymptotic solutions of linearized Navier–Stokes equations”, Mat. Zametki, 53:1 (1993),  25–35  mathnet  mathscinet  zmath; Math. Notes, 53:1 (1993), 19–26  isi
86. S. Yu. Dobrokhotov, V. N. Kolokoltsov, “Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential”, TMF, 94:3 (1993),  426–434  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 94:3 (1993), 300–305  isi
87. S. Yu. Dobrokhotov, V. P. Maslov, V. B. Tsvetkov, “Problem of the reversal of a wave for the model equation $r_t+rr_X-\dfrac{ih}{2}r_{XX}=0$”, Mat. Zametki, 51:6 (1992),  143–147  mathnet  mathscinet  zmath; Math. Notes, 51:6 (1992), 624–627  isi
88. S. Yu. Dobrokhotov, A. I. Shafarevich, “Parametrix and the asymptotics of localized solutions of the Navier-Stokes equations in $\mathbf{R}^3$, linearized on a smooth flow”, Mat. Zametki, 51:1 (1992),  72–82  mathnet  mathscinet  zmath; Math. Notes, 51:1 (1992), 47–54  isi
89. V. V. Belov, S. Yu. Dobrokhotov, “Semiclassical maslov asymptotics with complex phases. I. General approach”, TMF, 92:2 (1992),  215–254  mathnet  mathscinet; Theoret. and Math. Phys., 92:2 (1992), 843–868  isi
90. S. Yu. Dobrokhotov, I. M. Krichever, “Multi-phase solutions of the Benjamin–Ono equation and their averaging”, Mat. Zametki, 49:6 (1991),  42–58  mathnet  mathscinet  zmath; Math. Notes, 49:6 (1991), 583–594  isi
91. S. Yu. Dobrokhotov, P. N. Zhevandrov, V. P. Maslov, A. I. Shafarevich, “Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients”, Mat. Zametki, 49:4 (1991),  31–46  mathnet  mathscinet  zmath; Math. Notes, 49:4 (1991), 355–365  isi
92. S. Yu. Dobrokhotov, V. N. Kolokoltsov, V. P. Maslov, “Splitting of the lowest energy levels of the Schrödinger equation and asymptotic behavior of the fundamental solution of the equation $hu_t=h^2\Delta u/2-V(x)u$”, TMF, 87:3 (1991),  323–375  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 87:3 (1991), 561–599  isi
93. S. Yu. Dobrokhotov, O. L. Tolstova, “Application of conservation laws in asymptotic problems for equations with an operator-valued symbol”, Mat. Zametki, 47:5 (1990),  148–151  mathnet  mathscinet  zmath
94. Yu. M. Vorob'ev, S. Yu. Dobrokhotov, “Basis systems on the torus generated by finite-zone integration of the Korteweg–de Vries equation”, Mat. Zametki, 47:1 (1990),  47–61  mathnet  mathscinet  zmath; Math. Notes, 47:1 (1990), 32–41  isi
95. S. Yu. Dobrokhotov, M. B. Konovalov, I. Kh. Kostin, “Localization of Green function and the application of transition functions in problems of seismic wave effect on large structures”, Dokl. Akad. Nauk SSSR, 304:5 (1989),  1101–1105  mathnet
96. V. V. Belov, S. Yu. Dobrokhotov, “The Maslov canonical operator on isotropic manifolds with a complex germ, and its applications to spectral problems”, Dokl. Akad. Nauk SSSR, 298:5 (1988),  1037–1042  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 180–185
97. Yu. M. Vorob'ev, S. Yu. Dobrokhotov, “Completeness of the system of eigenfunctions of a nonelliptic operator on the torus, generated by a Hill operator with a finite-zone potential”, Funktsional. Anal. i Prilozhen., 22:2 (1988),  65–66  mathnet  mathscinet  zmath; Funct. Anal. Appl., 22:2 (1988), 137–139  isi
98. S. Yu. Dobrokhotov, “Resonance correction to an adiabatically perturbed finite-zonal almost periodic solution of the Korteweg–de Vries equation”, Mat. Zametki, 44:4 (1988),  551–555  mathnet  zmath
99. S. Yu. Dobrokhotov, “Resonances in asymptotic solutions of the Cauchy problem for the Schrödinger equation with rapidly oscillating finite-zone potential”, Mat. Zametki, 44:3 (1988),  319–340  mathnet  mathscinet  zmath; Math. Notes, 44:3 (1988), 656–668  isi
100. L. V. Berlyand, S. Yu. Dobrokhotov, ““Operator separation of variables” in problems of short-wave asymptotics for differential equations with rapidly oscillating coefficients”, Dokl. Akad. Nauk SSSR, 296:1 (1987),  80–84  mathnet  mathscinet  zmath
101. S. Yu. Dobrokhotov, A. I. Shafarevich, “Quasiclassical asymptotics in the problem of the scattering of wave packets by a rapidly changing potential of the form $-2\vert \nabla\Phi\vert ^2/ch^2(\Phi (x)/h)+V_0(x)$”, Dokl. Akad. Nauk SSSR, 295:6 (1987),  1347–1351  mathnet  mathscinet  zmath
102. S. Yu. Dobrokhotov, “Nonlocal analogues of the nonlinear Boussinesq equation for surface waves over an uneven bottom and their asymptotic solutions”, Dokl. Akad. Nauk SSSR, 292:1 (1987),  63–67  mathnet  mathscinet  zmath
103. S. Yu. Dobrokhotov, “Asymptotics of surface waves captured by shores and by inhomogeneities in the bottom relief”, Dokl. Akad. Nauk SSSR, 289:3 (1986),  575–579  mathnet  mathscinet
104. S. Yu. Dobrokhotov, P. N. Zhevandrov, “Nonstandard characteristics and Maslov's operatorial method in linear problems concerning unsteady water waves”, Funktsional. Anal. i Prilozhen., 19:4 (1985),  43–54  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:4 (1985), 285–295  isi
105. B. Valigno, S. Yu. Dobrokhotov, N. N. Nekhoroshev, “The complex germ in systems with one cyclic variable”, Uspekhi Mat. Nauk, 39:3(237) (1984),  233–234  mathnet  mathscinet  zmath; Russian Math. Surveys, 39:3 (1984), 219–220  isi
106. Yu. M. Vorob'ev, S. Yu. Dobrokhotov, V. P. Maslov, “Quasiclassical approximation for the models of spin-spin interaction on the one-dimensional lattice”, Zap. Nauchn. Sem. LOMI, 133 (1984),  63–76  mathnet  mathscinet  zmath
107. S. Yu. Dobrokhotov, “Maslov's methods in the linearized theory of gravitational waves on a fluid surface”, Dokl. Akad. Nauk SSSR, 269:1 (1983),  76–80  mathnet  mathscinet  zmath
108. S. Yu. Dobrokhotov, V. P. Maslov, “Multidimensional Dirichlet series in the problem of the asymptotic behavior of spectral series of nonlinear elliptic operators”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 23 (1983),  137–222  mathnet  mathscinet  zmath; J. Soviet Math., 28:1 (1985), 91–143
109. Yu. M. Vorob'ev, S. Yu. Dobrokhotov, “Quasiclassical asymptotic behaviors for discrete models of electron-phonon interaction: Maslov's method and the adiabatic approximation”, TMF, 57:1 (1983),  63–74  mathnet  mathscinet; Theoret. and Math. Phys., 57:1 (1983), 993–1001  isi
110. Yu. M. Vorob'ev, S. Yu. Dobrokhotov, “Quasiclassical quantization of the periodic Toda chain from the point of view of Lie algebras”, TMF, 54:3 (1983),  477–480  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 54:3 (1983), 312–314  isi
111. S. Yu. Dobrokhotov, V. P. Maslov, “Finite-zone almost periodic solutions in WKB-approximations”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 15 (1980),  3–94  mathnet  mathscinet  zmath; J. Soviet Math., 16:6 (1981), 1433–1487
112. S. Yu. Dobrokhotov, V. P. Maslov, “Problem of reflection from a boundary for the equation $h^2\square u+а\operatorname{sh}u=0$ and finite-zone conditionally periodic solutions”, Funktsional. Anal. i Prilozhen., 13:3 (1979),  79–80  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:3 (1979), 220–222
113. S. Yu. Dobrokhotov, V. P. Maslov, “Resonance fenomena in the nonlinear equation of a proper semiconductor $h^2\Delta u=\operatorname{sh}u$”, Zap. Nauchn. Sem. LOMI, 84 (1979),  35–44  mathnet  mathscinet  zmath; J. Soviet Math., 21:3 (1983), 274–280
114. S. Yu. Dobrokhotov, V. P. Maslov, “Asymptotics of a spectral boundary-value problem for a nonlinear equation for semiconductors”, Dokl. Akad. Nauk SSSR, 243:4 (1978),  897–900  mathnet  mathscinet  zmath
115. S. Yu. Dobrokhotov, V. P. Maslov, “Certain applications of the theory of a complex germ to equations with a small parameter”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 5 (1975),  141–211  mathnet  mathscinet  zmath; J. Soviet Math., 5:4 (1976), 552–605

116. V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Uspekhi Mat. Nauk, 76:4(460) (2021),  183–193  mathnet; Russian Math. Surveys, 76:4 (2021), 733–743  isi
117. M. I. Belishev, S. Yu. Dobrokhotov, I. A. Ibragimov, A. P. Kiselev, S. V. Kislyakov, M. A. Lyalinov, Yu. V. Matiyasevich, V. G. Romanov, V. P. Smyshlyaev, T. A. Suslina, N. N. Ural'tseva, “Vasilii Mikhailovich Babich (on his ninetieth birthday)”, Uspekhi Mat. Nauk, 76:1(457) (2021),  201–202  mathnet; Russian Math. Surveys, 76:1 (2021), 193–194  isi
118. A. V. Artem'ev, S. V. Bolotin, D. L. Vainchtein, A. A. Vasiliev, S. Yu. Dobrokhotov, L. M. Zelenyi, V. V. Kozlov, A. A. Petrukovich, V. V. Sidorenko, D. V. Treschev, A. I. Shafarevich, “Anatolii Iserovish Neishtadt (on his 70th birthday)”, Uspekhi Mat. Nauk, 75:5(455) (2020),  201–208  mathnet; Russian Math. Surveys, 75:5 (2020), 981–989  isi
119. V. V. Grushin, S. Yu. Dobrokhotov, S. A. Sergeev, “Correction to the paper “Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source” (Proc. Steklov Inst. Math. 281, 161–178 (2013))”, Trudy Mat. Inst. Steklova, 288 (2015),  287  mathnet  elib; Proc. Steklov Inst. Math., 288 (2015), 265  isi  scopus
120. V. M. Buchstaber, L. O. Chekhov, S. Yu. Dobrokhotov, S. M. Gusein-Zade, Yu. S. Ilyashenko, S. M. Natanzon, S. P. Novikov, G. I. Olshanski, A. K. Pogrebkov, O. K. Sheinman, S. B. Shlosman, M. A. Tsfasman, “Igor Krichever”, Mosc. Math. J., 10:4 (2010),  833–834  mathnet
121. S. Yu. Dobrokhotov, D. S. Minenkov, “On various averaging methods for a nonlinear oscillator with slow time-dependent potential and a nonconservative perturbation”, Regul. Chaotic Dyn., 15:2-3 (2010),  285–299  mathnet  mathscinet  zmath
122. Yu. S. Osipov, V. A. Sadovnichii, D. V. Bykov, F. L. Chernous'ko, A. A. Logunov, S. Yu. Dobrokhotov, M. V. Karasev, “Fiftieth anniversary of research and teaching by Viktor Pavlovich Maslov”, TMF, 155:2 (2008),  197–201  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 155:2 (2008), 674–677  isi
123. S. A. Albeverio, S. Yu. Dobrokhotov, E. S. Semenov, “Splitting Formulas for the Higher and Lower Energy Levels of the One-Dimensional Schrödinger Operator [Erratum]”, TMF, 141:3 (2004),  485  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 141:3 (2004), 1750  isi
124. V. M. Babich, R. R. Gadyl'shin, A. R. Danilin, S. Yu. Dobrokhotov, V. A. Il'in, L. A. Kalyakin, E. F. Mishchenko, V. Yu. Novokshenov, Yu. S. Osipov, M. D. Ramazanov, N. Kh. Rozov, V. A. Sadovnichii, “Arlen Mikhailovich Il'in (A tribute in honor of his 70th birthday)”, Differ. Uravn., 38:8 (2002),  1011–1016  mathnet  mathscinet; Differ. Equ., 38:8 (2002), 1075–1080
125. A. I. Bobenko, A. M. Il'in, S. Yu. Dobrokhotov, A. R. Its, L. A. Kalyakin, V. B. Matveev, V. Yu. Novokshenov, A. B. Shabat, “Ramil' Faritovich Bikbaev (obituary)”, Uspekhi Mat. Nauk, 51:1(307) (1996),  133–136  mathnet  mathscinet; Russian Math. Surveys, 51:1 (1996), 129–133  isi
126. V. M. Kharlamov, A. N. Varchenko, V. M. Petkov, Ya. G. Sinai, K. M. Khanin, S. Yu. Dobrokhotov, A. B. Givental', V. A. Dobrynin, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics (September, 30 – December, 9, 1987)”, Uspekhi Mat. Nauk, 43:3(261) (1988),  239–245  mathnet
127. F. John, J. Leray, S. P. Novikov, A. G. Khovanskii, S. A. Molchanov, N. V. Krylov, B. L. Rozovskii, N. R. Sibgatullin, A. V. Uglanov, S. Yu. Dobrokhotov, V. P. Maslov, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 34:3(207) (1979),  221–226  mathnet
128. S. Yu. Dobrokhotov, V. P. Maslov, P. P. Mosolov, B. M. Gurevich, Yu. M. Sukhov, V. A. Zlatoustov, V. B. Matveev, A. P. Markeev, Ya. B. Zel'dovich, V. A. Marchenko, E. Ya. Khruslov, “Sessions of the I. G. Petrovskii Seminar on Differential Equations and Mathematical Problems of Physics”, Uspekhi Mat. Nauk, 30:6(186) (1975),  197–206  mathnet  mathscinet

Presentations in Math-Net.Ru
1. Approximate calculation of the run-up of long waves on a gentle shore
Sergey Dobrokhotov
Mathematical Aspects of Contemporary Continuum Mechanics
November 12, 2021 17:00   
2. A quasi-classical approximation in the problem of constructing asymptotics of multiple orthogonal Hermite polynomials
S. Yu. Dobrokhotov, A. V. Tsvetkova
Seminar on Complex Analysis (Gonchar Seminar)
November 8, 2021 17:00
3. The Carrier-Greenspan transformation, its modifications and application in problems about waves in basins with gentle shores.
S. Yu. Dobrokhotov
International Conference "Integrability" Dedicated to 75th Anniversary of A. K. Pogrebkov
September 22, 2021 12:20   
4. Semiclassical approach for the effective Plancherel–Rotach type asymptotics of multiple Hermitian orthogonal polynomials
S. Yu. Dobrokhotov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 1, 2021 12:15   
5. Конструктивные асимптотики решений задачи Коши с локализованными начальными условиями для эволюционных псевдо(дифференциальных) уравнений
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. I. Shafarevich
Differential equations, analysis and control: theory and applications
March 22, 2021 18:25
6. Airy functions and uniform transition from the oscillator to semiclassical approximation for one-dimensional bound states
S. Yu. Dobrokhotov
International conference in memory of M. K. Polivanov "Polivanov–90"
December 17, 2020 10:00   
7. Asymptotics of Hermitian type orthogonal polynomials: real semiclassical approximation for the asymptotics with complex-valued phases
Sergey Dobrokhotov
International Conference on Mathematical Physics in Memory of Academic V. S. Vladimirov
November 25, 2020 18:30   
8. Равномерные асимптотические формулы в виде специальных функций в окрестности стандартных и нестандартных каустик в задачах с биллиардами с полужесткими стенками
A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova
Differential geometry and applications
September 21, 2020 17:45
9. Равномерная асимптотика полинимов Эрмита и лангранжевы многообразия
S. Yu. Dobrokhotov, A. V. Tsvetkova
Operator models in mathematical physics
November 8, 2019 17:25
10. Операторные пучки и простые решения задачи о волнах на поверхности жидкости в рамках линейной гидроупругой модели
S. Yu. Dobrokhotov
Operator models in mathematical physics
November 8, 2019 16:45
11. Униформизация в задаче об асимптотике собственных функций вырождающегося оператора $\nabla D(x)\nabla$, связанных с биллиардами с “полужесткими стенками”
S. Yu. Dobrokhotov, V. E. Nazaikinskii
Differential geometry and applications
October 28, 2019 16:45
12. Биллиарды с "полужесткими стенками" в задаче об асимптотике собственных функций вырождающегося оператора $\nabla D(x) \nabla$ и униформизация
S. Yu. Dobrokhotov, V. E. Nazaikinskii
Hamiltonian systems and statistical mechanics
October 14, 2019
13. Квазиклассический подход для асимптотик ортогональных полиномов
S. Yu. Dobrokhotov
International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
September 20, 2019 11:55   
14. Аналитикочисленные алгоритмы расчета локализованных решений в задачах о распространении и набеге длинных волн на воде
S. Yu. Dobrokhotov
IV International conference “Supercomputer Technologies of Mathematical Modelling” (SCTeMM'19)
June 21, 2019 12:00   
15. Асимптотики спектральных задач, связанные с биллиардами геодезического потока на торе Лиувилля с вырождающейся на границе метрике
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. Yu. Anikin, A. V. Tsvetkova
Modern geometry methods
April 17, 2019 18:30
16. Lagrangian manifolds connected with asymptotics of Hermitian polynomials
S. Yu. Dobrokhotov
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 13, 2018 11:00   
17. Lagrangian manifolds with singularities and their applications
S. Yu. Dobrokhotov
International conference "Topology and Physics" dedicated to the 80th birthday of S P Novikov
September 6, 2018 15:00
18. An example for the diffusion approximation method as applied to the density function of a one-dimensional oscillator
S. Dobrokhotov, A. Shafarevich
Dynamics in Siberia - 2018
February 27, 2018 15:00
19. Pairs of Lagrangian manifolds and semiclassical asymptotics of solutions of inhomogeneous stationary problems with localized right-hand sides
S. Yu. Dobrokhotov
Dynamics in Siberia - 2018
February 27, 2018 12:20
20. “Нестандартные” каустики в асимптотиках о линейных волн на воде, порожденных локализованными источниками
S. Yu. Dobrokhotov
All-Russian conference "Modern Problems of Continuum Mechanics" devoted to 110 anniversary of L. I. Sedov
November 14, 2017 15:00
21. High-frequency Gaussian beams in a cold plasma in a toroidal chamber and recovery of plasma parameters using the Radon transform
S. Yu. Dobrokhotov, A. I. Klevin, B. Tirozzi, A. Cardinale
Complex analysis and mathematical physics
March 21, 2017 16:00
22. Maslov's canonical operator on a pair of Lagrangian manifolds and Green function type asymptotics
Sergey Dobrokhotov
New Trends in Mathematical and Theoretical Physics
October 3, 2016 12:30   
23. Difference equations, pseudodifferential operators and semiclassical asymptotics
S. Yu. Dobrokhotov
Seminar on Complex Analysis (Gonchar Seminar)
March 16, 2015 18:00
24. Maslov Canonical Operator, one Hцrmander Formula and Localisation of the Berry-Ballagh-Bessel solutions in the Beam Theory
S. Yu. Dobrokhotov
International Conference on Differential Equations and Dynamical Systems
July 7, 2014 09:00
25. О новых формулах для канонического оператора Маслова и их компьютерной реализации в теории волновых пучков
S. Yu. Dobrokhotov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 5, 2013 11:00
26. О новых интегральных представлениях канонического оператора Маслова в окрестности каустик и фокальных точек и их приложения
S. Yu. Dobrokhotov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
November 27, 2013 14:00
27. О новых интегральных представлениях канонического оператора Маслова в окрестности каустик и фокальных точек
S. Yu. Dobrokhotov
Conference "Mathematical Physics. Vladimirov-90" dedicated to the 90th anniversary of academician V. S. Vladimirov
November 13, 2013 17:30   
28. Quantum double well in magnetic field: tunnelling, libration, normal forms
S. Yu. Dobrokhotov
Sixth International Conference on Differential and Functional Differential Equations DFDE-2011
August 18, 2011 12:55   
29. Локализованные решения линейных гиперболических систем и приложения
S. Yu. Dobrokhotov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
May 20, 2010 14:30
30. Циклы на инвариантных почти инвариантных комлексных лагранжевых многообразиях и туннельные формулы расщепления собственных значений многомерных операторов Бельтрами–Лапласа и Шрёдингера
S. Yu. Dobrokhotov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
December 7, 2005

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