Nikolay A. Kudryashov

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 31

Top Topics

Hamilton Jacobi

Differential Equations

Hierarchical Organization

Top Venues

Appl. Math. Lett.

Appl. Math. Comput.

Commun. Nonlinear Sci. Numer. Simul.

J. Comput. Appl. Math.

Publications

Nikolay A. Kudryashov
Painlevé analysis of the resonant third-order nonlinear Schrödinger equation. Appl. Math. Lett. 158 (2024)
Nikolay A. Kudryashov, Sofia F. Lavrova
Traveling wave solutions of the derivative nonlinear Schrödinger hierarchy. Appl. Math. Comput. 477 (2024)
Alim A. Bayramukov, Nikolay A. Kudryashov
Numerical study of the model described by the fourth order generalized nonlinear Schrödinger equation with cubic-quintic-septic-nonic nonlinearity. J. Comput. Appl. Math. 437 (2024)
Nikolay A. Kudryashov
Mathematical model with unrestricted dispersion and polynomial nonlinearity. Appl. Math. Lett. 138 (2023)
R. V. Muratov, Nikolay A. Kudryashov, Pavel N. Ryabov
Numerical studies of self-organization of shear bands in one and two dimensions. Commun. Nonlinear Sci. Numer. Simul. 125 (2023)
Nikolay A. Kudryashov
Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index. Appl. Math. Lett. 128 (2022)
Nikolay A. Kudryashov
The generalized Duffing oscillator. Commun. Nonlinear Sci. Numer. Simul. 93 (2021)
Nikolay A. Kudryashov
Lax pairs for one of hierarchies similar to the first Painlevé hierarchy. Appl. Math. Lett. 116 (2021)
Nikolay A. Kudryashov
First integrals and general solution of the complex Ginzburg-Landau equation. Appl. Math. Comput. 386 (2020)
Nikolay A. Kudryashov
Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. Appl. Math. Comput. 371 (2020)
Nikolay A. Kudryashov
Solitary wave solutions of hierarchy with non-local nonlinearity. Appl. Math. Lett. 103 (2020)
Nikolay A. Kudryashov
Traveling wave reduction of the modified KdV hierarchy: The Lax pair and the first integrals. Commun. Nonlinear Sci. Numer. Simul. 73 (2019)
Nikolay A. Kudryashov
Exact solutions of the equation for surface waves in a convecting fluid. Appl. Math. Comput. (2019)
Nikolay A. Kudryashov
Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy. Appl. Math. Comput. 350 (2019)
Nikolay A. Kudryashov
Nonlinear differential equations associated with the first Painlevé hierarchy. Appl. Math. Lett. 90 (2019)
Nikolay A. Kudryashov, Roman B. Rybka, Aleksander G. Sboev
Analytical properties of the perturbed FitzHugh-Nagumo model. Appl. Math. Lett. 76 (2018)
Maria V. Demina, Nikolay A. Kudryashov
Meromorphic solutions in the FitzHugh-Nagumo model. Appl. Math. Lett. 82 (2018)
Dmitry I. Sinelshchikov, Nikolay A. Kudryashov
On the Jacobi last multipliers and Lagrangians for a family of Liénard-type equations. Appl. Math. Comput. 307 (2017)
Nikolay A. Kudryashov, Alexandr K. Volkov
The fifth-order partial differential equation for the description of the α+β Fermi-Pasta-Ulam model. Commun. Nonlinear Sci. Numer. Simul. 42 (2017)
Alexander G. Sboev, Roman B. Rybka, Alexey Serenko, Danila Vlasov, Nikolay A. Kudryashov, Vyacheslav Demin
To the role of the choice of the neuron model in spiking network learning on base of Spike-Timing-Dependent Plasticity. BICA (2017)
Nikolay A. Kudryashov
Analytical properties of nonlinear dislocation equation. Appl. Math. Lett. 69 (2017)
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
On the criteria for integrability of the Liénard equation. Appl. Math. Lett. 57 (2016)
Nikolay A. Kudryashov
On solutions of generalized modified Korteweg-de Vries equation of the fifth order with dissipation. Appl. Math. Comput. 280 (2016)
Nikolay A. Kudryashov, Pavel N. Ryabov
Analytical and numerical solutions of the generalized dispersive Swift-Hohenberg equation. Appl. Math. Comput. 286 (2016)
Nikolay A. Kudryashov, Yulia S. Ivanova
Painleve analysis and exact solutions for the modified Korteweg-de Vries equation with polynomial source. Appl. Math. Comput. 273 (2016)
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov, Alexandr K. Volkov
Extended two dimensional equation for the description of nonlinear waves in gas-liquid mixture. Appl. Math. Comput. 268 (2015)
Nikolay A. Kudryashov
Painlevé analysis and exact solutions of the fourth-order equation for description of nonlinear waves. Commun. Nonlinear Sci. Numer. Simul. 28 (Issues) (2015)
Nikolay A. Kudryashov, Anastasia S. Zakharchenko
Analytical properties and exact solutions of the Lotka-Volterra competition system. Appl. Math. Comput. 254 (2015)
Nikolay A. Kudryashov
On wave structures described by the generalized Kuramoto-Sivashinsky equation. Appl. Math. Lett. 49 (2015)
Nikolay A. Kudryashov, Kirill E. Shilnikov
Numerical modeling and optimization of the cryosurgery operations. J. Comput. Appl. Math. 290 (2015)
Nikolay A. Kudryashov
Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source. Appl. Math. Lett. 41 (2015)
Anastasia O. Antonova, Nikolay A. Kudryashov
Generalization of the simplest equation method for nonlinear non-autonomous differential equations. Commun. Nonlinear Sci. Numer. Simul. 19 (11) (2014)
Maria V. Demina, Nikolay A. Kudryashov
Elliptic solutions in the Hénon-Heiles model. Commun. Nonlinear Sci. Numer. Simul. 19 (3) (2014)
Nikolay A. Kudryashov, Pavel N. Ryabov
Exact solutions of one pattern formation model. Appl. Math. Comput. 232 (2014)
Nikolay A. Kudryashov
Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation. Appl. Math. Comput. 219 (17) (2013)
Nikolay A. Kudryashov
Polynomials in logistic function and solitary waves of nonlinear differential equations. Appl. Math. Comput. 219 (17) (2013)
Anindya Ghose Choudhury, Partha Guha, Nikolay A. Kudryashov
A Lagrangian description of the higher-order Painlevé equations. Appl. Math. Comput. 218 (11) (2012)
Nikolay A. Kudryashov
Special polynomials associated with the Burgers hierarchy. Appl. Math. Comput. 218 (15) (2012)
Nikolay A. Kudryashov, Mark B. Kochanov
Quasi-exact solutions of nonlinear differential equations. Appl. Math. Comput. 219 (4) (2012)
Maria A. Korotkova, Nikolay A. Kudryashov, Eugene V. Korotkov
An Approach for Searching Insertions in Bacterial Genes Leading to the Phase Shift of Triplet Periodicity. Genom. Proteom. Bioinform. 9 (4-5) (2011)
Nikolay A. Kudryashov
A new note on exact complex travelling wave solutions for (2+1)-dimensional B-type Kadomtsev-Petviashvili equation. Appl. Math. Comput. 217 (5) (2010)
Nikolay A. Kudryashov, Pavel N. Ryabov, Dmitry I. Sinelshchikov
A note on "New kink-shaped solutions and periodic wave solutions for the (2 + 1)-dimensional Sine-Gordon equation". Appl. Math. Comput. 216 (8) (2010)
Vera P. Turutina, Andrew A. Laskin, Nikolay A. Kudryashov, Konstantin G. Skryabin, Eugene V. Korotkov
Identification of Amino Acid Latent Periodicity within 94 Protein Families. J. Comput. Biol. 13 (4) (2006)
Andrew A. Laskin, Nikolay A. Kudryashov, Konstantin G. Skryabin, Eugene V. Korotkov
Latent periodicity of serine-threonine and tyrosine protein kinases and other protein families. Comput. Biol. Chem. 29 (3) (2005)