Nikolai A. Kudryashov

J. Comput. Appl. Math., February, 2024

Properties of the generalized Chavy-Waddy-Kolokolnikov model for description of bacterial colonies.

[BibT_eX]

[DOI]

Aleksandr A. Kutukov

Sofia F. Lavrova

Commun. Nonlinear Sci. Numer. Simul., January, 2024

Painlevé analysis of the resonant third-order nonlinear Schrödinger equation.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2024

Traveling wave solutions of the derivative nonlinear Schrödinger hierarchy.

[BibT_eX]

[DOI]

Sofia F. Lavrova

Appl. Math. Comput., 2024

2023

Numerical studies of self-organization of shear bands in one and two dimensions.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., October, 2023

Mathematical model with unrestricted dispersion and polynomial nonlinearity.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2023

2022

Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2022

2021

A finite volume method for numerical simulations of adiabatic shear bands formation.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2021

The generalized Duffing oscillator.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2021

Lax pairs for one of hierarchies similar to the first Painlevé hierarchy.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2021

2020

Solitary wave solutions of hierarchy with non-local nonlinearity.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2020

First integrals and general solution of the complex Ginzburg-Landau equation.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2020

Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2020

2019

Traveling wave reduction of the modified KdV hierarchy: The Lax pair and the first integrals.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2019

Nonlinear differential equations associated with the first Painlevé hierarchy.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2019

Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2019

Exact solutions of the equation for surface waves in a convecting fluid.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2019

2018

Analytical properties of the perturbed FitzHugh-Nagumo model.

[BibT_eX]

[DOI]

Roman B. Rybka

Aleksander G. Sboev

Appl. Math. Lett., 2018

Meromorphic solutions in the FitzHugh-Nagumo model.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2018

The collective behavior of shear strain localizations in dipolar materials.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2018

2017

The fifth-order partial differential equation for the description of the α+β Fermi-Pasta-Ulam model.

[BibT_eX]

[DOI]

Alexandr K. Volkov

Commun. Nonlinear Sci. Numer. Simul., 2017

New non-standard Lagrangians for the Liénard-type equations.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2017

Analytical properties of nonlinear dislocation equation.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2017

On the Jacobi last multipliers and Lagrangians for a family of Liénard-type equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2017

Analytical Solutions for Nonlinear Convection-Diffusion Equations with Nonlinear Sources.

[BibT_eX]

[DOI]

Autom. Control. Comput. Sci., 2017

Numerical Simulation of Adiabatic Shear-Band Formation in Composites.

[BibT_eX]

[DOI]

Autom. Control. Comput. Sci., 2017

To the role of the choice of the neuron model in spiking network learning on base of Spike-Timing-Dependent Plasticity.

[BibT_eX]

[DOI]

Vyacheslav A. Demin

Proceedings of the 8th Annual International Conference on Biologically Inspired Cognitive Architectures, 2017

2016

Solitary and periodic waves in two-fluid magnetohydrodynamics.

[BibT_eX]

[DOI]

M. B. Gavrikov

B. A. Petrov

V. V. Savelyev

Commun. Nonlinear Sci. Numer. Simul., 2016

On the criteria for integrability of the Liénard equation.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2016

Analytical and numerical solutions of the generalized dispersive Swift-Hohenberg equation.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2016

Painleve analysis and exact solutions for the modified Korteweg-de Vries equation with polynomial source.

[BibT_eX]

[DOI]

Yulia S. Ivanova

Appl. Math. Comput., 2016

On solutions of generalized modified Korteweg-de Vries equation of the fifth order with dissipation.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2016

2015

Numerical modeling and optimization of the cryosurgery operations.

[BibT_eX]

[DOI]

Kirill E. Shilnikov

J. Comput. Appl. Math., 2015

Painlevé analysis and exact solutions of the fourth-order equation for description of nonlinear waves.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2015

On wave structures described by the generalized Kuramoto-Sivashinsky equation.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2015

Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2015

Analytical properties and exact solutions of the Lotka-Volterra competition system.

[BibT_eX]

[DOI]

Anastasia S. Zakharchenko

Appl. Math. Comput., 2015

Extended two dimensional equation for the description of nonlinear waves in gas-liquid mixture.

[BibT_eX]

[DOI]

Alexandr K. Volkov

Appl. Math. Comput., 2015

Dissipative structures of the Kuramoto-Sivashinsky equation.

[BibT_eX]

[DOI]

B. A. Petrov

Autom. Control. Comput. Sci., 2015

2014

Elliptic solutions in the Hénon-Heiles model.

[BibT_eX]

[DOI]

Commun. Nonlinear Sci. Numer. Simul., 2014

Generalization of the simplest equation method for nonlinear non-autonomous differential equations.

[BibT_eX]

[DOI]

Anastasia O. Antonova

Commun. Nonlinear Sci. Numer. Simul., 2014

A note on solutions of the generalized Fisher equation.

[BibT_eX]

[DOI]

Anastasia S. Zakharchenko

Appl. Math. Lett., 2014

Exact solutions of one pattern formation model.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2014

Classical and nonclassical symmetries of a nonlinear differential equation for describing waves in a liquid with gas bubbles.

[BibT_eX]

[DOI]

Autom. Control. Comput. Sci., 2014

Doubly periodic meromorphic solutions of autonomous nonlinear differential equations.

[BibT_eX]

[DOI]

Autom. Control. Comput. Sci., 2014

2013

Polynomials in logistic function and solitary waves of nonlinear differential equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2013

Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2013

Polynomial method for constructing equilibrium configurations of point vortices in a plane.

[BibT_eX]

[DOI]

Autom. Control. Comput. Sci., 2013

2012

Nonlinear differential equations of the second, third and fourth order with exact solutions.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2012

Elliptic solutions for a family of fifth order nonlinear evolution equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2012

Quasi-exact solutions of nonlinear differential equations.

[BibT_eX]

[DOI]

Mark B. Kochanov

Appl. Math. Comput., 2012

Special polynomials associated with the Burgers hierarchy.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2012

A Lagrangian description of the higher-order Painlevé equations.

[BibT_eX]

[DOI]

Anindya Ghose Choudhury

Partha Guha

Appl. Math. Comput., 2012

2011

Comment on "New types of exact solutions for nonlinear Schrodinger equation with cubic nonlinearity".

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2011

An Approach for Searching Insertions in Bacterial Genes Leading to the Phase Shift of Triplet Periodicity.

[BibT_eX]

[DOI]

Maria A. Korotkova

Eugene V. Korotkov

Genom. Proteom. Bioinform., 2011

On elliptic solutions of nonlinear ordinary differential equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2011

2010

A note on new exact solutions for the Kawahara equation using Exp-function method.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2010

A note on "New kink-shaped solutions and periodic wave solutions for the (2 + 1)-dimensional Sine-Gordon equation".

[BibT_eX]

[DOI]

Appl. Math. Comput., 2010

A new note on exact complex travelling wave solutions for (2+1)-dimensional B-type Kadomtsev-Petviashvili equation.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2010

Soliton, rational and special solutions of the Korteweg-de Vries hierarchy.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2010

A note on the G<sup>'</sup>/G-expansion method.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2010

2009

Exact solutions of equations for the Burgers hierarchy.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2009

Traveling wave solutions of the generalized nonlinear evolution equations.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2009

Self-similar solutions of the Burgers hierarchy.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2009

2008

Extended simplest equation method for nonlinear differential equations.

[BibT_eX]

[DOI]

Nadejda B. Loguinova

Appl. Math. Comput., 2008

2006

Identification of Amino Acid Latent Periodicity within 94 Protein Families.

[BibT_eX]

[DOI]

Vera P. Turutina

Andrew A. Laskin

Konstantin G. Skryabin

Eugene V. Korotkov

J. Comput. Biol., 2006

2005

Latent periodicity of serine-threonine and tyrosine protein kinases and other protein families.

[BibT_eX]

[DOI]

Andrew A. Laskin