RUS  ENG
Full version
PEOPLE

Kudryashov Nikolai Alekseevich

Publications in Math-Net.Ru

  1. Exact solutions and reductions of the nonlinear Schrödinger equation of the general form

    Dokl. RAN. Math. Inf. Proc. Upr., 522 (2025),  50–55
  2. Solitary waves of the hierarchy equations Burgers

    Zh. Vychisl. Mat. Mat. Fiz., 65:5 (2025),  654–664
  3. Embedded Solitons of the Generalized Nonlinear Schrödinger Equation with High Dispersion

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    Mat. Model., 28:4 (2016),  125–136
  23. On the Integrability Conditions for a Family of Liénard-type Equations

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

    Regul. Chaotic Dyn., 21:3 (2016),  351–366
  25. 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
  26. Dissipative structures of the Kuramoto–Sivashinsky equation

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

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

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

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

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

    Model. Anal. Inform. Sist., 21:5 (2014),  49–60
  32. 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
  33. Special Solutions of a High-order Equation for Waves in a Liquid with Gas Bubbles

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

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

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

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

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

    Mat. Model., 24:12 (2012),  23–28
  39. Point Vortices and Classical Orthogonal Polynomials

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

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

    Mat. Model., 23:10 (2011),  117–132
  42. Point Vortices and Polynomials of the Sawada–Kotera and Kaup–Kupershmidt Equations

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

    Mat. Model., 21:3 (2009),  3–17
  44. Popular Ansatz Methods and Solitary Wave Solutions of the Kuramoto–Sivashinsky Equation

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

    Mat. Model., 20:3 (2008),  48–58
  46. Nonlinear evolution equations for description of perturbations in a viscoelastic tube

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

    Regul. Chaotic Dyn., 13:3 (2008),  234–238
  48. 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
  49. Power Expansions for the Self-Similar Solutions of the Modified Sawada–Kotera Equation

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    Mat. Model., 2:12 (1990),  122–126
  67. Painleve expansions method for nonlinear nonintegrable equations

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

    Mat. Model., 2:8 (1990),  42–50
  69. Solitons and the formation of structures in dissipative, dispersive media with instability

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

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

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

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

    Mat. Model., 1:12 (1989),  1–12
  74. Exact solutions of the generalized Ginzburg–Landau equation

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

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

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

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

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

    Fizika Tverdogo Tela, 30:3 (1988),  784–790
  80. 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
  81. Dynamics of gas leakage accompanying the expansion of a cavity in a brittle dilating medium

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

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

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

    Prikl. Mekh. Tekh. Fiz., 27:4 (1986),  116–122
  85. 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
  86. Numerical analysis of gas flow taking into account resistance forces

    Prikl. Mekh. Tekh. Fiz., 26:4 (1985),  100–105
  87. 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
  88. Dynamics of heat exchange for gases in an underground cavity

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

    Prikl. Mekh. Tekh. Fiz., 24:3 (1983),  8–13
  90. 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, 2025