Kudryashov, Nikolai Alekseevich

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Total publications: 75
Scientific articles: 75
Presentations: 3

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Abstract pages:17895
Full texts:5263
Doctor of physico-mathematical sciences (1986)
Speciality: 01.01.03 (Mathematical physics)
E-mail: ,
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Publications in Math-Net.Ru
1. Nikolay A. Kudryashov, “Lax Pairs and Rational Solutions of Similarity Reductions for Kupershmidt and Sawada Kotera Hierarchies”, Regul. Chaotic Dyn., 26:3 (2021),  271–292  mathnet  mathscinet  isi  scopus
2. Fibay Urbain, N. A. Kudryashov, E. Tala-Tebue, Malwe Boudoue Hubert, S. Y. Doka, Kofane Timoleon Crepin, “Exact solutions of the KdV equation with dual-power law nonlinearty”, Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021),  457  mathnet  isi  elib
3. Nikolay A. Kudryashov, “Highly Dispersive Optical Solitons of an Equation with Arbitrary Refractive Index”, Regul. Chaotic Dyn., 25:6 (2020),  537–543  mathnet  mathscinet  isi  scopus
4. Nikolay A. Kudryashov, “Rational Solutions of Equations Associated with the Second Painlevé Equation”, Regul. Chaotic Dyn., 25:3 (2020),  273–280  mathnet  isi  scopus
5. Nikolay A. Kudryashov, “Lax Pairs and Special Polynomials Associated with Self-similar Reductions of Sawada Kotera and Kupershmidt Equations”, Regul. Chaotic Dyn., 25:1 (2020),  59–77  mathnet  isi  scopus
6. N. A. Kudryashov, “On Integrability of the FitzHugh Rinzel Model”, Rus. J. Nonlin. Dyn., 15:1 (2019),  13–19  mathnet  elib  scopus
7. Nikolay A. Kudryashov, Dariya V. Safonova, Anjan Biswas, “Painlevé Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan Kundu Lakshmanan Equation”, Regul. Chaotic Dyn., 24:6 (2019),  607–614  mathnet  isi  scopus
8. Nikolay A. Kudryashov, “Rational and Special Solutions for Some Painlevé Hierarchies”, Regul. Chaotic Dyn., 24:1 (2019),  90–100  mathnet  isi  scopus
9. Dariya V. Safonova, Maria V. Demina, Nikolai A. Kudryashov, “Stationary Configurations of Point Vortices on a Cylinder”, Regul. Chaotic Dyn., 23:5 (2018),  569–579  mathnet  isi  scopus
10. Nikolay A. Kudryashov, “Exact Solutions and Integrability of the DuffingVan der Pol Equation”, Regul. Chaotic Dyn., 23:4 (2018),  471–479  mathnet  mathscinet  isi  scopus
11. Ivan R. Garashchuk, Dmitry I. Sinelshchikov, Nikolay A. Kudryashov, “Nonlinear Dynamics of a Bubble Contrast Agent Oscillating near an Elastic Wall”, Regul. Chaotic Dyn., 23:3 (2018),  257–272  mathnet  mathscinet  isi  scopus
12. Nikolay A. Kudryashov, “Asymptotic and Exact Solutions of the FitzHughNagumo Model”, Regul. Chaotic Dyn., 23:2 (2018),  152–160  mathnet  isi  scopus
13. D. I. Sinelshchikov, N. A. Kudryashov, “On integrable non–autonomous Liénard–type equations”, TMF, 196:2 (2018),  328–340  mathnet  mathscinet  elib; Theoret. and Math. Phys., 196:2 (2018), 1230–1240  isi  scopus
14. N. A. Kudryashov, A. A. Kutukov, E. A. Mazur, “Reconstruction of bands in metallic hydrogen”, Pis'ma v Zh. Èksper. Teoret. Fiz., 105:7 (2017),  424–429  mathnet  elib; JETP Letters, 105:7 (2017), 430–434  isi  scopus
15. Ilia Yu. Gaiur, Nikolay A. Kudryashov, “Weak Nonlinear Asymptotic Solutions for the Fourth Order Analogue of the Second Painlevé Equation”, Regul. Chaotic Dyn., 22:3 (2017),  266–271  mathnet  mathscinet  isi  scopus
16. N. A. Kudryashov, A. A. Kutukov, E. A. Mazur, “Critical temperature of metallic hydrogen at a pressure of $500$ GPa”, Pis'ma v Zh. Èksper. Teoret. Fiz., 104:7 (2016),  488–493  mathnet  elib; JETP Letters, 104:7 (2016), 460–465  isi  scopus
17. N. A. Kudryashov, D. I. Sinelshchikov, “Analytical solutions of a nonlinear convection-diffusion equation with polynomial sources”, Model. Anal. Inform. Sist., 23:3 (2016),  309–316  mathnet  mathscinet  elib; Automatic Control and Computer Sciences, 51:7 (2017), 621–626
18. N. A. Kudryashov, R. V. Muratov, P. N. Ryabov, “Numerical simulation of adiabatic shear bands formation in composites”, Model. Anal. Inform. Sist., 23:3 (2016),  298–308  mathnet  mathscinet  elib
19. N. A. Kudryashov, K. E. Shilnikov, “Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery”, Matem. Mod., 28:4 (2016),  125–136  mathnet  elib; Math. Models Comput. Simul., 8:6 (2016), 680–688  scopus
20. N. A. Kudryashov, D. I. Sinelshchikov, “On the Integrability Conditions for a Family of Liénard-type Equations”, Regul. Chaotic Dyn., 21:5 (2016),  548–555  mathnet  isi  scopus
21. Maria V. Demina, Nikolai A. Kudryashov, “Multi-particle Dynamical Systems and Polynomials”, Regul. Chaotic Dyn., 21:3 (2016),  351–366  mathnet  mathscinet  isi  scopus
22. A. K. Volkov, N. A. Kudryashov, “Nonlinear waves described by a fifth-order equation derived from the Fermi–Pasta–Ulam system”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016),  685–693  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 56:4 (2016), 680–687  isi  scopus
23. N. A. Kudryashov, P. N. Ryabov, B. A. Petrov, “Dissipative structures of the Kuramoto–Sivashinsky equation”, Model. Anal. Inform. Sist., 22:1 (2015),  105–113  mathnet  mathscinet  elib
24. N. A. Kudryashov, “Method of the logistic function for finding analytical solutions of nonlinear differential equations”, Model. Anal. Inform. Sist., 22:1 (2015),  23–37  mathnet  mathscinet  elib
25. Nikolay A. Kudryashov, Dmitry I. Sinelshchikov, “On the Connection of the Quadratic Lienard Equation with an Equation for the Elliptic Functions”, Regul. Chaotic Dyn., 20:4 (2015),  486–496  mathnet  mathscinet  zmath  isi  elib  scopus
26. Nikolay A. Kudryashov, “Analytical Solutions of the Lorenz System”, Regul. Chaotic Dyn., 20:2 (2015),  123–133  mathnet  mathscinet  zmath  isi  scopus
27. N. A. Kudryashov, K. E. Shilnikov, “Numerical simulation of cryosurgeries and optimization of probe placement”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015),  1611–1622  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:9 (2015), 1579–1589  isi  elib  scopus
28. M. V. Demina, N. A. Kudryashov, “Doubly periodic meromorphic solutions of autonomous nonlinear differential equations”, Model. Anal. Inform. Sist., 21:5 (2014),  49–60  mathnet
29. N. A. Kudryashov, D. I. Sinelshchikov, “Classical and Nonclassical Symmetries of Nonlinear Differential Equation for Describing Waves in a Liquid with Gas Bubbles”, Model. Anal. Inform. Sist., 21:1 (2014),  45–52  mathnet
30. Nikolay A. Kudryashov, Dmitry I. Sinelshchikov, “Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles”, Regul. Chaotic Dyn., 19:5 (2014),  576–585  mathnet  mathscinet  zmath  isi
31. Nikolay A. Kudryashov, “Higher Painlevé Transcendents as Special Solutions of Some Nonlinear Integrable Hierarchies”, Regul. Chaotic Dyn., 19:1 (2014),  48–63  mathnet  mathscinet  zmath  isi
32. Alexey V. Borisov, Nikolay A. Kudryashov, “Paul Painlevé and His Contribution to Science”, Regul. Chaotic Dyn., 19:1 (2014),  1–19  mathnet  isi
33. Maria V. Demina, Nikolai A. Kudryashov, “Relative Equilibrium Configurations of Point Vortices on a Sphere”, Regul. Chaotic Dyn., 18:4 (2013),  344–355  mathnet  mathscinet  zmath  isi
34. M. V. Demina, N. A. Kudryashov, “Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane”, Model. Anal. Inform. Sist., 19:5 (2012),  50–55  mathnet
35. N. A. Kudryashov, P. N. Ryabov, T. E. Fedyanin, “On self-organization processes of nanostructures on semiconductor surface by ion bombardment”, Matem. Mod., 24:12 (2012),  23–28  mathnet
36. Maria V. Demina, Nikolai A. Kudryashov, “Point Vortices and Classical Orthogonal Polynomials”, Regul. Chaotic Dyn., 17:5 (2012),  371–384  mathnet  mathscinet  zmath
37. A. Choudhury, P. Guha, N. A. Kudryashov, “A Lagrangian description of the higher-order Painlevé equations”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  877  mathnet  elib; Comput. Math. Math. Phys., 52:5 (2012), 746–755  isi  elib  scopus
38. V. I. Koshkin, N. A. Kudryashov, P. N. Ryabov, “Modeling of the quasiperiodic processes of adiabatic shear bands formation”, Matem. Mod., 23:10 (2011),  117–132  mathnet  mathscinet
39. Maria V. Demina, Nikolai A. Kudryashov, “Point Vortices and Polynomials of the SawadaKotera and KaupKupershmidt Equations”, Regul. Chaotic Dyn., 16:6 (2011),  562–576  mathnet
40. N. A. Kudryashov, N. A. Teterev, “Numerical modeling of the solitary pressure wave propagation in a liquid containing bubble area”, Matem. Mod., 21:3 (2009),  3–17  mathnet  mathscinet  zmath
41. N. A. Kudryashov, M. B. Soukharev, “Popular Ansatz Methods and Solitary Wave Solutions of the KuramotoSivashinsky Equation”, Regul. Chaotic Dyn., 14:3 (2009),  407–419  mathnet  mathscinet  zmath
42. N. A. Kudryashov, V. S. Minaev, “Influence of dispersed particles on thermal rise”, Matem. Mod., 20:3 (2008),  48–58  mathnet  zmath
43. N. A. Kudryashov, D. I. Sinel'shchikov, I. L. Chernyavsky, “Nonlinear evolution equations for description of perturbations in a viscoelastic tube”, Nelin. Dinam., 4:1 (2008),  69–86  mathnet
44. N. A. Kudryashov, “Solitary and Periodic Solutions of the Generalized KuramotoSivashinsky Equation”, Regul. Chaotic Dyn., 13:3 (2008),  234–238  mathnet  mathscinet  zmath
45. M. V. Demina, N. A. Kudryashov, D. I. Sinel'shchikov, “The polygonal method for constructing exact solutions to certain nonlinear differential equations describing water waves”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008),  2151–2162  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 48:12 (2008), 2182–2193  isi  scopus
46. O. Yu. Efimova, N. A. Kudryashov, “Power Expansions for the Self-Similar Solutions of the Modified SawadaKotera Equation”, Regul. Chaotic Dyn., 12:2 (2007),  198–218  mathnet  mathscinet  zmath
47. M. V. Demina, N. A. Kudryashov, “Special polynomials and rational solutions of the hierarchy of the second Painlevé equation”, TMF, 153:1 (2007),  58–67  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 153:1 (2007), 1398–1406  isi  scopus
48. N. A. Kudryashov, M. A. Chmykhov, “Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007),  110–120  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 47:1 (2007), 107–117  scopus
49. A. D. Bruno, N. A. Kudryashov, “Power expansions of solutions to an analogy to the first Painlevé equation”, Keldysh Institute preprints, 2005, 017  mathnet
50. N. A. Kudryashov, “Approximate solutions to a nonlinear heat conduction problem”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005),  2044–2051  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:11 (2005), 1965–1972
51. N. A. Kudryashov, “Amalgamations of the Painlevé Equations”, TMF, 137:3 (2003),  408–423  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 137:3 (2003), 1703–1715  isi
52. N. A. Kudryashov, “On the Fourth Painlevé Hierarchy”, TMF, 134:1 (2003),  101–109  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 134:1 (2003), 86–93  isi
53. N. A. Kudryashov, “Nonlinear fourth-order differential equations with solutions in the form of transcendents”, TMF, 122:1 (2000),  72–87  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 122:1 (2000), 58–71  isi
54. N. A. Kudryashov, “Multiphase and rational solutions of a family of nonlinear equations”, TMF, 94:3 (1993),  393–407  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 94:3 (1993), 277–286  isi
55. N. A. Kudryashov, “Exact solutions of a family of Fisher equations”, TMF, 94:2 (1993),  296–306  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 94:2 (1993), 211–218  isi
56. A. A. Alekseev, N. A. Kudryashov, “Approximating pseudopotentials for evolution equations containing a small parameter”, TMF, 91:3 (1992),  355–362  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 91:3 (1992), 575–580  isi
57. A. A. Alekseev, N. A. Kudryashov, “Non-Abelian pseudopotentials and nonlocal conservation laws of some heat conduction equations”, TMF, 91:1 (1992),  30–35  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 91:1 (1992), 346–350  isi
58. V. A. Arutyunov, N. A. Kudryashov, M. N. Strikhanov, V. M. Samsonov, “SYNCHROTRON AND UNDULAR EMISSION OF FAST CHARGED-PARTICLES IN CURVED CRYSTALS”, Zhurnal Tekhnicheskoi Fiziki, 61:3 (1991),  1–5  mathnet
59. V. A. Arutyunov, N. A. Kudryashov, M. N. Strikhanov, V. M. Samsonov, “EMISSION OF FAST CHARGE PARTICLE IN BENT CRYSTALS”, Zhurnal Tekhnicheskoi Fiziki, 61:2 (1991),  32–39  mathnet
60. N. A. Kudryashov, S. S. Kucherenko, “     ”, Fizika i Tekhnika Poluprovodnikov, 25:7 (1991),  1188–1195  mathnet
61. S. P. Andreev, E. R. Astvatsaturyan, A. V. Golovin, N. A. Kudryashov, S. S. Kucherenko, V. A. Polunin, A. V. Chicheryukin, “ $p{-}n$-    ”, Fizika i Tekhnika Poluprovodnikov, 25:1 (1991),  128–132  mathnet
62. N. A. Kudryashov, S. V. Petrovski, V. M. Samsonov, M. N. Strikhanov, “SELECTION OF PARTICLES BY LOW-ENERGY LOSSES CRITERION IN CRYSTALS”, Zhurnal Tekhnicheskoi Fiziki, 60:7 (1990),  165–170  mathnet
63. N. A. Kudryashov, T. V. Savina, “Invariant solutions of equation for fluid's flow in porous media with high Reynodls numbers”, Matem. Mod., 2:12 (1990),  122–126  mathnet  mathscinet  zmath
64. N. A. Kudryashov, “Painleve expansions method for nonlinear nonintegrable equations”, Matem. Mod., 2:12 (1990),  102–115  mathnet  mathscinet  zmath
65. N. A. Kudryashov, A. A. Tutnov, “The simulation of condensation of vapor admixture by spherical-symmetrical expansion of a gas cloud”, Matem. Mod., 2:8 (1990),  42–50  mathnet  zmath
66. N. A. Kudryashov, “Solitons and the formation of structures in dissipative, dispersive media with instability”, Dokl. Akad. Nauk SSSR, 308:2 (1989),  294–298  mathnet  zmath
67. N. A. Kudryashov, S. V. Petrovski, M. N. Strikhanov, “DYNAMICS OF VOLUME LOCKING OF FAST CHANGED PARTICLES TO BENT CRYSTAL CHANNELS”, Zhurnal Tekhnicheskoi Fiziki, 59:4 (1989),  68–73  mathnet
68. N. A. Kudryashov, S. V. Petrovski, M. N. Strikhanov, “CHANNELING OF RELATIVISTIC NUCLEI IN CURVED CRYSTALS”, Zhurnal Tekhnicheskoi Fiziki, 59:3 (1989),  205–207  mathnet
69. N. A. Kudryashov, S. S. Kucherenko, Yu. I. Sytsko, “Mathematical modelling of photoelectric processes in semiconductor elements by high-level light excitation”, Matem. Mod., 1:12 (1989),  1–12  mathnet  zmath
70. N. A. Kudryashov, “Exact solutions of the generalized Ginzburg–Landau equation”, Matem. Mod., 1:9 (1989),  151–158  mathnet  mathscinet  zmath
71. N. A. Kudryashov, “Exact solutions of nonlinear Burgers–Korteweg–de Vries equation of $N$-th order”, Matem. Mod., 1:6 (1989),  57–65  mathnet  mathscinet  zmath
72. N. A. Kudryashov, “Bäcklund transformations for a fourth-order partial differential equation with a Burgers–KdV nonlinearity”, Dokl. Akad. Nauk SSSR, 300:2 (1988),  342–345  mathnet  mathscinet  zmath
73. N. A. Kudryashov, “Autowave processes in a conducting gas flowing through a porous medium in an electric field”, Dokl. Akad. Nauk SSSR, 300:2 (1988),  304–307  mathnet  zmath
74. N. A. Kudryashov, S. S. Kucherenko, E. A. Mazur, “Dynamics of photoinduced space charge in semiconductors”, Fizika Tverdogo Tela, 30:3 (1988),  784–790  mathnet
75. N. A. Kudryashov, V. V. Murzenko, “Heat transfer and dilatancy during the detonation product escape at the dynamic stage of contained explosion”, Dokl. Akad. Nauk SSSR, 296:1 (1987),  67–71  mathnet
76. N. A. Kudryashov, S. V. Petrovski, M. N. Strikhanov, “Volume locking of a fast-charged particle wide beam in curved crystals”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 12:24 (1986),  1515–1522  mathnet

Presentations in Math-Net.Ru
1. , –– –
N. A. Kudryashov
Seminar of the Department of Mechanics
November 14, 2016 12:00
2. Analytical studying of extended models for nonlinear waves in liquid with gas bubbles
N. A. Kudryashov, D. I. Sinel'shchikov
International Conference on Differential Equations and Dynamical Systems
July 5, 2014 12:50
3. Special solutions of equations for Korteweg-de Vries, Kaup-Kupershimdt, Caudry-Dodd-Gibbon and Fordy-Gibbons hierarchies
N. A. Kudryashov
International Conference on Differential Equations and Dynamical Systems
July 5, 2014 12:20

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