

Nikolai A. Kudryashov
Prof., PhD, Sc.Dr.
Head of Department of Applied Mathematics 
Born: September 19, 1945, Russia
Education and Degrees:
 M.S. in Theoret. and Math. Physics,
March 3, 1974,
Moscow Engineering Physics Institute
 Ph. D. in math. Physics,
November 13, 1978
Moscow Engineering Physics Institute
 Doctor of Sciences in Mathemat. Physics,
April 2, 1986,
Moscow Engineering Physics Institute
Current Professional Status:
 Head of Department of Applied Mathematics of Moscow Engineering Physics Institute, Moscow, Russia;
Memberships and awards:
 State Prize Laureate of USSR, Soros Professor, Meritorious Science Worker of the Russian Federation, Academician of the Russian Academy of Natural Sciences
 Grant Holder and Colaborator of:
 Soros Educational program
 International Science and Technology Center (ISTC)
 US Civilian Research and Development Foundation
 Russian Foundation for Basic Research
 Editorial Board of the website EqWorld:
The World of Mathematical Equations (http://eqworld.ipmnet.ru);
Research interests:
 Theory of Ordinary and Partial Differential Equations (ODEs and PDEs)
 Integrable and nonintegrable models, Painleve analysis of nonlinear differential equations
 Analytical exact solutions for nonlinear PDEs
 Conservation laws and first integrals
 Local and nonlocal symmetries and transformations for ODEs and PDEs
 Solitons and selfsimilar solutions
 Mathematical Modelling of nonlinear waves processes
 Continuum mechanics, Fluid and gas dynamics
 Biophysics (Hemodynamics) and symbolical sequences
 Ecology and Earth sciences (modelling of volcanoes and tsunamis)
 Numerical methods
 Difference equations
 Finitedifference and spectral schemes, finite element methods
 Application to modelling of nonlinear wave processes
Teaching courses:
 Mathematical problems in Hydrogasodynamics
 Nonlinear problems of mathematical physics
 Introduction to nonlinear dynamics
 Lie groups for ODEs
 FiniteDifference Methods
 Partial Differential Equations for Scientists and Engineers
 Intoduction to solitons
Selected Publications:
 Nikolai A. Kudryashov, Seven common errors in finding exact solutions of nonlinear differential equations, Communications in Nonlinear Science and Numerical Simulation, (2009), V. 14, I. 910, pp. 35073529
 Nikolai A. Kudryashov, On "new travelling wave solutions" of the KdV and the KdVBurgers equations, Communications in Nonlinear Science and Numerical Simulation, (2009), V.14, I.5, pp. 18911900
 Nikolai A. Kudryashov, Nadejda B. Loguinova, Be careful with the Expfunction method,
Communications in Nonlinear Science and Numerical Simulation, (2009), V.14, I.5 pp. 1881189
 Nikolai A. Kudryashov, Special polynomials associated with rational solutions of some hierarchies, Chaos, Solitons & Fractals, (2009), V. 39, I. 3, pp. 14471462
 Nikolai A. Kudryashov, Nadejda B. Loguinova, Extended simplest equation method for nonlinear differential equations, Applied Mathematics and Computation, (2008), V. 205, I. 1, pp. 396402
 Nikolai A. Kudryashov, Maria V. Demina, The generalized YablonskiiVorob'ev polynomials and their properties, Physics Letters A, (2008), V. 372, I. 29, pp. 48854890
 Demina, M.V., Kudryashov, N.A., Sinel'Shchikov, D.I. The polygonal method for constructing exact solutions to certain nonlinear differential equations describing water waves, Computational Mathematics and Mathematical Physics, (2008), V. 48 (12), pp. 21822193
 Kudryashov, N.A., Demina, M.V., Relations between zeros of special polynomials associated with the Painleve equations, Physics Letters A,(2007), V. 368, I. 34, pp. 227234.
 Kudryashov, N.A., Demina, M.V., Polygons of differential equations for finding exact solutions, Chaos, Solitons and Fractals, (2007), V. 33, I. 5, pp. 14801496.
 Demina, M.V., Kudryashov, N.A., The YablonskiiVorob'ev polynomials for the second Painleve hierarchy, Chaos, Solitons and Fractals,(2007), 32 (2), pp. 526537.
 Kudryashov, N.A., Efimova, O.Yu., Power expansions for solution of the fourthorder analog to the first Painleve equation, Chaos, Solitons and Fractals, (2006) , 30 (1), pp. 110124
 N.A. Kudryashov, Simplest equation method to look for exact solutions of nonlinear differential equations,
Chaos, Solitons and Fractals, (2005), 24, pp.12171231
 N.A. Kudryashov, Fuchs indices and the first integrals of nonlinear differential equations, Chaos, Solitons and Fractals, (2005), v.26, No.2
 N.A. Kudryashov, Nonlinear differential equations with exact solutions expressed via the Weierstrass function,
Zeitschrift fur Naturforschung, (2004), v.59
 E.V.Korotkov, M.A.Korotkova, N.A. Kudryashov, Information decomposition method to analyze the symbolical sequences, Physics Letters A, (2003), v.312, 34, pp.198310
 E.V. Korotkov, M.A. Korotkova, F.E. Frenkel, N.A. Kudryashov, The Informational Concept of Searching for Periodicity in Symbol Sequences, Molecular Biology, (2003), Vol.37, No.3, pp.372386.
 M.B. Chaley, E.V. Korotkov, N.A. Kudryashov, Latent periodicity of 21 bases typical for MCP, Gene is widely present in various bacterial genes, DNA sequences, (2003), vol.14(1), pp.3352
 N.A. Kudryashov, Amalgamations of the Painlevé equations, Journal of Math. Physics, (2003), v.44, 12
 N.A. Kudryashov, Fourthorder analogies to the Painleve equations, Journal of Physics A.: Math. General, (2002), v.35, pp.46174632
 N.A. Kudryashov, One Generalization of the second Painleve hierarchy, Journal of Physics A: Math. General, (2002), v.35, pp.9399
 N.A. Kudryashov, M.B. Soukharev, Descrete equations corresponding to fourthorder differential equations of the P2 and K2 Hierarchies, Proceedings ANZIAM, Journal of Industrial and Applied Mathematics, (2002)
 N.A. Kudryashov, Some fourth ordinary differential equations which pass the Painleve test, Journal of Nonlinear Mathematical Physics, (2001), v.8, Supplement, Proceedinds:Needs 99
 N.A. Kudryashov, Double Backlund transformations and special integrals for the K II hierarchy, Physics Letters A, (2000), v.273, pp.194202
 N.A. Kudryashov, Two hierarchies of ordinary differential equations and their properties,
Physics Letters A, (1999), 252, pp.173179
 N.A. Kudryashov, Transcendents defined by nonlinear fourth order differential equations, Journal of Physics A: Math. and General, (1999), v.32, 6, pp.9991014
 N.A. Kudryashov, S.N. Kolobanov, Numerical modeling of the distribution of radionuclides in porous media at strong damage of undeground nuclear power station, International Journal of Heat and Mass Transfer, (1999), 42, pp.36953705.
 S.A. Chesnokov, N.A. Kudryashov, Yu.I. Sytsko, Numerical modeling of gravitational waves behaviour in the ocean with a shallow water approximation, Journal of Engineering Physics, (1999), v.72, No.6, pp.11801186 (in russian)
 N.A. Kudryashov, M.B. Soukharev, Uniformization and Transcendence of solutions for the first and second Painleve hierarchies, Physycs Letters A, (1998), v.237, pp.206216
 N.A. Kudryashov, A. Pickering, Rational solutions for Schwarzian integrable hierarchies, Journal of Physics A: Math. and General, (1998), v.31, No.47, pp.95059518
 N.A. Kudryashov, On new transcendents defined by nonlinear ordinary differential equations, Journal of Physics A: Math. and General, (1998), v.31, No.6, pp.L129L137
 N.A. Kudryashov, The first and the second Painleve equations of higher order and some relations between them, Physics Letters A, (1997), v.224, pp.353360
 N.A. Kudryashov, The second Painleve equation as the model of electric field in a semiconductor, Physics Letters A, (1997), v.233, pp.397400
 N.A. Kudryashov, Method for Deriving Rational Solutions of Some Nonlinear Evolution Equations, Journal of Physics A: Math. and General, (1997), v.30, pp.54455453
 N.A. Kudryashov, E.D. Zargaryan, Solitary waves in activedissipative dispersive media, Journal of Physics A: Mathematical and General, (1996), v.29, No.24, pp.80678077
 N.A. Kudryashov, From singular manifold equations to integrable evolution equation, Journal of Physics A: Mathematical and General, (1994), v.27, No.4, pp.24572470
 N.A. Kudryashov, Singular manifold exations and exact solutions for some nonlinear partial differential equations, Physics Letters A, (1993), vol.182, No.46, pp.356362
 N.A. Kudryashov, Truncated expansions and nonlinear integrable partial differential equations, Physics Letters A, (1993), vol.178, No.12, pp.99104
 N.A. Kudryashov, Partial differential equations with solutions having movable firstorder singularities, Physics Letters A, (1992), vol.169, No.4, pp.237242
 S.S. Kucherenko, N.A. Kudryashov, Photoelectric characteristics of a semiconductor diode with an abrupt junction at high photoexcitation levels, SolidState Electronics, (1992), Vol.35, No.7, pp.993997
 N.A. Kudryashov, On types of nonlinear nonintegrable equations with exact solutions, Physics Letters A, (1991), vol.155, No.45, pp.269275
 V.A. Arutyunov, N.A. Kudryashov, O.A. Mishin V.M. Samsonov, M.N. Strikhanov, Radiactive polarization of relativistic lepton beams in a bent crystals, Physics Letters A, (1991), vol.151, No.12, pp.122124
 V.A. Arutyunov , N.A. Kudryashov, V.M. Samsonov, M.N. Strikhanov, Channeling radiation in a bent crystals, Physics Letters A, (1991), vol.151, No.9, pp.481484
 V.A. Arutyunov, N.A. Kudryashov, M.N. Strikhanov, Radiation of Ultrarelatistic Charged Particles in a Bent Crystal, Nuclear Physics B, (1991), 263, p.283
 A.A. Alexeyev, N.A. Kudryashov, Nonabelian pseudopotentials and conservation laws of reactiondiffusion equations, Journal of Physics A: Mathematical and General, (1991), vol.24, No.6, pp.L255L260
 N.A. Kudryashov, Exact solutions of generalized KuramotoSivashinsky equation, Physics Letters A, (1990), vol.147, No.56, pp.287291
 V.A. Arutyunov, N.A. Kudryashov, O.A. Mishin, V.M. Samsonov, M.N. Strikhanov, Radiative polarization effects for relativistic beams in bent crystals, Nuclear Instruments and Methods in Physics Research B, (1990), 52, pp.1318
 N.A. Kudryashov, S.V. Petrovsky, V.M. Samsonov, M.N. Strikhanov, Energy Loss Distribution of Relativistic Charged Particls in Crystals, Physica status solidi (b), (1990), vol.157, No.2, pp.531545
 N.A. Kudryashov, Exact soliton solutions of the generalized evolution equation of wave dynamics, Prikladnaya Mathematica i Mechanika, (1988), vol.52, No.3, pp.465470 (translated from russian)
Mailing Address:
Room K1106, Department of Applied Mathematics at Moscow Engineering and Physics Institute (MEPhI),
31 Kashirskoe shosse,
Moscow 115409, Russian Federation
Email: kudryashov@mephi.ru
Home page: http://www.primat.mephi.ru/~kudryashov/


