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Dobrokhotov, Sergei Yurevich

Statistics Math-Net.Ru
Total publications: 115
Scientific articles: 105
Presentations: 23

Number of views:
This page:7122
Abstract pages:36928
Full texts:10337
References:3619
Professor
Doctor of physico-mathematical sciences (1989)
Speciality: 01.01.03 (Mathematical physics)
E-mail:

http://www.mathnet.ru/eng/person8961
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/190688
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ISTINA http://istina.msu.ru/workers/92366620
http://orcid.org/0000-0003-3055-4955
https://publons.com/researcher/M-9506-2015
http://www.researcherid.com/rid/M-9506-2015
http://www.scopus.com/authid/detail.url?authorId=7003268098

Publications in Math-Net.Ru
2020
1. 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; Math. Notes, 107:5 (2020), 817–823  isi  scopus
2. 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; Theoret. and Math. Phys., 204:2 (2020), 984–992
2019
3. 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
4. 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
5. 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  elib; Math. Notes, 105:5 (2019), 789–794  isi  scopus
6. 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
7. S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator $-\frac{d}{dx}D(x)\frac{d}{dx}$”, Tr. Mat. Inst. Steklova, 306 (2019),  83–99  mathnet; Proc. Steklov Inst. Math., 306 (2019), 74–89  isi  scopus
8. 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; Theoret. and Math. Phys., 201:3 (2019), 1742–1770  isi  scopus
9. 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
2018
10. 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
11. 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  elib; Math. Notes, 104:6 (2018), 915–921  isi  scopus
12. S. Yu. Dobrokhotov, A. V. Tsvetkova, “Lagrangian Manifolds Related to the Asymptotics of Hermite Polynomials”, Mat. Zametki, 104:6 (2018),  835–850  mathnet  elib; Math. Notes, 104:6 (2018), 810–822  isi  scopus
13. 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  elib; Math. Notes, 104:4 (2018), 471–488  isi  scopus
14. 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  elib; Math. Notes, 103:5 (2018), 33–43  isi  scopus
15. 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
16. 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  elib; Theoret. and Math. Phys., 197:2 (2018), 1626–1634  isi  scopus
17. 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  elib; Theoret. and Math. Phys., 196:1 (2018), 1059–1081  isi  scopus
2017
18. 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
19. 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
20. 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
21. 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
22. 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
2016
23. 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
24. 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
25. 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
26. 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
27. 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
2015
28. 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
29. 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
2014
30. 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
31. 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
32. 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
2013
33. 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
34. 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”, Tr. Mat. Inst. Steklova, 281 (2013),  170–187  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 281 (2013), 161–178  isi  elib
35. 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
36. 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
2012
37. 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
2011
38. 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
39. 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
2010
40. 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
41. 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
42. 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
43. 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
44. 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
2008
45. 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
2007
46. 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
2006
47. 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
2005
48. 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
49. 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
50. 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
2004
51. 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
52. 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
53. 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
2003
54. 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
55. 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
56. 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
57. 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
2002
58. 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
59. 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
2001
60. 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
61. 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
2000
62. 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
63. 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
64. 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
1998
65. 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
66. 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
1997
67. 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
1996
68. 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
69. 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
1995
70. 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
71. 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
1994
72. 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
1993
73. 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
74. 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
75. 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
76. 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),  141–148  mathnet  mathscinet  zmath; Math. Notes, 53:6 (1993), 657–660  isi
77. 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
78. 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
1992
79. 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
80. 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
81. 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
1991
82. 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
83. 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
84. 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
1990
85. 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
86. 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
1989
87. 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
1988
88. 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
89. 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
90. 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
91. 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
1987
92. 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
93. 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
94. 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
1986
95. 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
1985
96. 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
1984
97. 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
98. 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
1983
99. 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
100. 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
101. 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
102. 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
1980
103. 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
1979
104. 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
105. 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
1978
106. 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
1975
107. 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

2015
108. 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))”, Tr. Mat. Inst. Steklova, 288 (2015),  287  mathnet  elib; Proc. Steklov Inst. Math., 288 (2015), 265  isi  scopus
2010
109. 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
110. 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
2008
111. 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
2004
112. 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
2002
113. 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
1996
114. 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
1988
115. 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
1979
116. 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
1975
117. 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. Равномерная асимптотика полинимов Эрмита и лангранжевы многообразия
S. Yu. Dobrokhotov, A. V. Tsvetkova
Operator models in mathematical physics
November 8, 2019 17:25
2. 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
3. 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
4. Биллиарды с "полужесткими стенками" в задаче об асимптотике собственных функций вырождающегося оператора $\nabla D(x) \nabla$ и униформизация
S. Yu. Dobrokhotov, V. E. Nazaikinskii

October 14, 2019
5. 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   
6. 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   
7. 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
8. Lagrangian manifolds connected with asymptotics of Hermitian polynomials
S. Yu. Dobrokhotov
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 13, 2018 11:00   
9. 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
10. 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
11. 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
12. “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
13. 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
14. 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   
15. Difference equations, pseudodifferential operators and semiclassical asymptotics
S. Yu. Dobrokhotov
Seminar on Complex Analysis (Gonchar Seminar)
March 16, 2015 18:00
16. 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
17. 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
18. 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
19. 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   
20. 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   
21. 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
22. 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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