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Kudryashov Nikolai Alekseevich

Publications in Math-Net.Ru

  1. Embedded Solitons of the Generalized Nonlinear Schrödinger Equation with High Dispersion

    Regul. Chaotic Dyn., 27:6 (2022),  680–696
  2. Lax Pairs and Rational Solutions of Similarity Reductions for Kupershmidt and Sawada – Kotera Hierarchies

    Regul. Chaotic Dyn., 26:3 (2021),  271–292
  3. Exact solutions of the KdV equation with dual-power law nonlinearty

    Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021),  457
  4. Highly Dispersive Optical Solitons of an Equation with Arbitrary Refractive Index

    Regul. Chaotic Dyn., 25:6 (2020),  537–543
  5. Rational Solutions of Equations Associated with the Second Painlevé Equation

    Regul. Chaotic Dyn., 25:3 (2020),  273–280
  6. Lax Pairs and Special Polynomials Associated with Self-similar Reductions of Sawada – Kotera and Kupershmidt Equations

    Regul. Chaotic Dyn., 25:1 (2020),  59–77
  7. On Integrability of the FitzHugh – Rinzel Model

    Rus. J. Nonlin. Dyn., 15:1 (2019),  13–19
  8. Painlevé Analysis and a Solution to the Traveling Wave Reduction of the Radhakrishnan – Kundu – Lakshmanan Equation

    Regul. Chaotic Dyn., 24:6 (2019),  607–614
  9. Rational and Special Solutions for Some Painlevé Hierarchies

    Regul. Chaotic Dyn., 24:1 (2019),  90–100
  10. Stationary Configurations of Point Vortices on a Cylinder

    Regul. Chaotic Dyn., 23:5 (2018),  569–579
  11. Exact Solutions and Integrability of the Duffing–Van der Pol Equation

    Regul. Chaotic Dyn., 23:4 (2018),  471–479
  12. Nonlinear Dynamics of a Bubble Contrast Agent Oscillating near an Elastic Wall

    Regul. Chaotic Dyn., 23:3 (2018),  257–272
  13. Asymptotic and Exact Solutions of the FitzHugh–Nagumo Model

    Regul. Chaotic Dyn., 23:2 (2018),  152–160
  14. On integrable non–autonomous Liénard–type equations

    TMF, 196:2 (2018),  328–340
  15. Reconstruction of bands in metallic hydrogen

    Pis'ma v Zh. Èksper. Teoret. Fiz., 105:7 (2017),  424–429
  16. Weak Nonlinear Asymptotic Solutions for the Fourth Order Analogue of the Second Painlevé Equation

    Regul. Chaotic Dyn., 22:3 (2017),  266–271
  17. Critical temperature of metallic hydrogen at a pressure of $500$ GPa

    Pis'ma v Zh. Èksper. Teoret. Fiz., 104:7 (2016),  488–493
  18. Analytical solutions of a nonlinear convection-diffusion equation with polynomial sources

    Model. Anal. Inform. Sist., 23:3 (2016),  309–316
  19. Numerical simulation of adiabatic shear bands formation in composites

    Model. Anal. Inform. Sist., 23:3 (2016),  298–308
  20. Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery

    Matem. Mod., 28:4 (2016),  125–136
  21. On the Integrability Conditions for a Family of Liénard-type Equations

    Regul. Chaotic Dyn., 21:5 (2016),  548–555
  22. Multi-particle Dynamical Systems and Polynomials

    Regul. Chaotic Dyn., 21:3 (2016),  351–366
  23. 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
  24. Dissipative structures of the Kuramoto–Sivashinsky equation

    Model. Anal. Inform. Sist., 22:1 (2015),  105–113
  25. Method of the logistic function for finding analytical solutions of nonlinear differential equations

    Model. Anal. Inform. Sist., 22:1 (2015),  23–37
  26. On the Connection of the Quadratic Lienard Equation with an Equation for the Elliptic Functions

    Regul. Chaotic Dyn., 20:4 (2015),  486–496
  27. Analytical Solutions of the Lorenz System

    Regul. Chaotic Dyn., 20:2 (2015),  123–133
  28. Numerical simulation of cryosurgeries and optimization of probe placement

    Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015),  1611–1622
  29. Doubly periodic meromorphic solutions of autonomous nonlinear differential equations

    Model. Anal. Inform. Sist., 21:5 (2014),  49–60
  30. 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
  31. Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles

    Regul. Chaotic Dyn., 19:5 (2014),  576–585
  32. Higher Painlevé Transcendents as Special Solutions of Some Nonlinear Integrable Hierarchies

    Regul. Chaotic Dyn., 19:1 (2014),  48–63
  33. Paul Painlevé and His Contribution to Science

    Regul. Chaotic Dyn., 19:1 (2014),  1–19
  34. Relative Equilibrium Configurations of Point Vortices on a Sphere

    Regul. Chaotic Dyn., 18:4 (2013),  344–355
  35. Polynomial Method for Constructing Equilibrium Configurations of Point Vortices in the Plane

    Model. Anal. Inform. Sist., 19:5 (2012),  50–55
  36. On self-organization processes of nanostructures on semiconductor surface by ion bombardment

    Matem. Mod., 24:12 (2012),  23–28
  37. Point Vortices and Classical Orthogonal Polynomials

    Regul. Chaotic Dyn., 17:5 (2012),  371–384
  38. A Lagrangian description of the higher-order Painlevé equations

    Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  877
  39. Modeling of the quasiperiodic processes of adiabatic shear bands formation

    Matem. Mod., 23:10 (2011),  117–132
  40. Point Vortices and Polynomials of the Sawada–Kotera and Kaup–Kupershmidt Equations

    Regul. Chaotic Dyn., 16:6 (2011),  562–576
  41. Numerical modeling of the solitary pressure wave propagation in a liquid containing bubble area

    Matem. Mod., 21:3 (2009),  3–17
  42. Popular Ansatz Methods and Solitary Wave Solutions of the Kuramoto–Sivashinsky Equation

    Regul. Chaotic Dyn., 14:3 (2009),  407–419
  43. Influence of dispersed particles on thermal rise

    Matem. Mod., 20:3 (2008),  48–58
  44. Nonlinear evolution equations for description of perturbations in a viscoelastic tube

    Nelin. Dinam., 4:1 (2008),  69–86
  45. Solitary and Periodic Solutions of the Generalized Kuramoto–Sivashinsky Equation

    Regul. Chaotic Dyn., 13:3 (2008),  234–238
  46. 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
  47. Power Expansions for the Self-Similar Solutions of the Modified Sawada–Kotera Equation

    Regul. Chaotic Dyn., 12:2 (2007),  198–218
  48. Special polynomials and rational solutions of the hierarchy of the second Painlevé equation

    TMF, 153:1 (2007),  58–67
  49. Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux

    Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007),  110–120
  50. Power expansions of solutions to an analogy to the first Painlevé equation

    Keldysh Institute preprints, 2005, 017
  51. Approximate solutions to a nonlinear heat conduction problem

    Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005),  2044–2051
  52. Amalgamations of the Painlevé Equations

    TMF, 137:3 (2003),  408–423
  53. On the Fourth Painlevé Hierarchy

    TMF, 134:1 (2003),  101–109
  54. Nonlinear fourth-order differential equations with solutions in the form of transcendents

    TMF, 122:1 (2000),  72–87
  55. Multiphase and rational solutions of a family of nonlinear equations

    TMF, 94:3 (1993),  393–407
  56. Exact solutions of a family of Fisher equations

    TMF, 94:2 (1993),  296–306
  57. Approximating pseudopotentials for evolution equations containing a small parameter

    TMF, 91:3 (1992),  355–362
  58. Non-Abelian pseudopotentials and nonlocal conservation laws of some heat conduction equations

    TMF, 91:1 (1992),  30–35
  59. SYNCHROTRON AND UNDULAR EMISSION OF FAST CHARGED-PARTICLES IN CURVED CRYSTALS

    Zhurnal Tekhnicheskoi Fiziki, 61:3 (1991),  1–5
  60. EMISSION OF FAST CHARGE PARTICLE IN BENT CRYSTALS

    Zhurnal Tekhnicheskoi Fiziki, 61:2 (1991),  32–39
  61. Õàðàêòåðèñòèêè ïîëóïðîâîäíèêîâîãî äèîäà ñ ðåçêèì ïåðåõîäîì ïðè âûñîêèõ óðîâíÿõ èîíèçèðóþùèõ èçëó÷åíèé

    Fizika i Tekhnika Poluprovodnikov, 25:7 (1991),  1188–1195
  62. Èîíèçàöèîííàÿ ðåàêöèÿ $p{-}n$-ñòðóêòóð ÈÌÑ ïðè áîëüøèõ èíòåíñèâíîñòÿõ èîíèçðóþùåãî èçëó÷åíèÿ

    Fizika i Tekhnika Poluprovodnikov, 25:1 (1991),  128–132
  63. SELECTION OF PARTICLES BY LOW-ENERGY LOSSES CRITERION IN CRYSTALS

    Zhurnal Tekhnicheskoi Fiziki, 60:7 (1990),  165–170
  64. Invariant solutions of equation for fluid's flow in porous media with high Reynodls numbers

    Matem. Mod., 2:12 (1990),  122–126
  65. Painleve expansions method for nonlinear nonintegrable equations

    Matem. Mod., 2:12 (1990),  102–115
  66. The simulation of condensation of vapor admixture by spherical-symmetrical expansion of a gas cloud

    Matem. Mod., 2:8 (1990),  42–50
  67. Solitons and the formation of structures in dissipative, dispersive media with instability

    Dokl. Akad. Nauk SSSR, 308:2 (1989),  294–298
  68. Explosion in a highly porous medium

    Fizika Goreniya i Vzryva, 25:3 (1989),  89–96
  69. DYNAMICS OF VOLUME LOCKING OF FAST CHANGED PARTICLES TO BENT CRYSTAL CHANNELS

    Zhurnal Tekhnicheskoi Fiziki, 59:4 (1989),  68–73
  70. CHANNELING OF RELATIVISTIC NUCLEI IN CURVED CRYSTALS

    Zhurnal Tekhnicheskoi Fiziki, 59:3 (1989),  205–207
  71. Mathematical modelling of photoelectric processes in semiconductor elements by high-level light excitation

    Matem. Mod., 1:12 (1989),  1–12
  72. Exact solutions of the generalized Ginzburg–Landau equation

    Matem. Mod., 1:9 (1989),  151–158
  73. Exact solutions of nonlinear Burgers–Korteweg–de Vries equation of $N$-th order

    Matem. Mod., 1:6 (1989),  57–65
  74. Bäcklund transformations for a fourth-order partial differential equation with a Burgers–KdV nonlinearity

    Dokl. Akad. Nauk SSSR, 300:2 (1988),  342–345
  75. Autowave processes in a conducting gas flowing through a porous medium in an electric field

    Dokl. Akad. Nauk SSSR, 300:2 (1988),  304–307
  76. Scale factor in the discharge of detonation products from an underground cavity

    Fizika Goreniya i Vzryva, 24:3 (1988),  116–118
  77. Dynamics of photoinduced space charge in semiconductors

    Fizika Tverdogo Tela, 30:3 (1988),  784–790
  78. 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
  79. Dynamics of gas leakage accompanying the expansion of a cavity in a brittle dilating medium

    Fizika Goreniya i Vzryva, 23:4 (1987),  138–143
  80. Volume locking of a fast-charged particle wide beam in curved crystals

    Pisma v Zhurnal Tekhnicheskoi Fiziki, 12:24 (1986),  1515–1522
  81. Numerical solution of the propagation of cylindrical shock waves in a magnetic field

    Prikl. Mekh. Tekh. Fiz., 27:6 (1986),  102–107
  82. Growth of a main crack under the influence of gas moving inside it

    Prikl. Mekh. Tekh. Fiz., 27:4 (1986),  116–122
  83. Filtration of gases in an elastically deformable porous medium at the stage of dynamic expansion of a cavity

    Fizika Goreniya i Vzryva, 21:6 (1985),  126–131
  84. Numerical analysis of gas flow taking into account resistance forces

    Prikl. Mekh. Tekh. Fiz., 26:4 (1985),  100–105
  85. Effect of viscosity and heat conduction on the ascent of a thermal under the influence of buoyancy

    Prikl. Mekh. Tekh. Fiz., 26:3 (1985),  78–81
  86. Dynamics of heat exchange for gases in an underground cavity

    Fizika Goreniya i Vzryva, 19:1 (1983),  135–141
  87. Ionizing shock-wave propagation in a homogeneous magnetic field

    Prikl. Mekh. Tekh. Fiz., 24:3 (1983),  8–13
  88. Gas temperature and pressure in the cavity of an underground explosion

    Fizika Goreniya i Vzryva, 15:5 (1979),  113–119

© Steklov Math. Inst. of RAS, 2024