Zobrazeno 1 - 10
of 209
pro vyhledávání: '"Kudryashov, Nikolai A."'
Publikováno v:
In Optik November 2022 269
Autor:
Lavrova, Sofia1 (AUTHOR) sflavrova@mephi.ru, Kudryashov, Nikolai1 (AUTHOR)
Publikováno v:
Optical & Quantum Electronics. Oct2023, Vol. 55 Issue 10, p1-20. 20p.
Publikováno v:
Regular Chaot. Dyn. (2016) 21: 548
We study a family of Li\'enard--type equations. Such equations are used for the description of various processes in physics, mechanics and biology and also appear as traveling--wave reductions of some nonlinear partial differential equations. In this
Externí odkaz:
http://arxiv.org/abs/1608.06920
Li\'enard-type equations are used for the description of various phenomena in physics and other fields of science. Here we find a new family of the Li\'enard-type equations which admits a non-standard autonomous Lagrangian. As a by-product we obtain
Externí odkaz:
http://arxiv.org/abs/1608.04926
Publikováno v:
Kudryashov, Nikolay A., and Dmitry I. Sinelshchikov. "On the criteria for integrability of the Li\'enard equation." Applied Mathematics Letters 57 (2016): 114-120
The Li\'{e}nard equation is of a high importance from both mathematical and physical points of view. However a question about integrability of this equation has not been completely answered yet. Here we provide a new criterion for integrability of th
Externí odkaz:
http://arxiv.org/abs/1608.01636
Publikováno v:
N.A. Kudryashov, D.I. Sinelshchikov, Periodic structures described by the perturbed Burgers-Korteweg-de Vries equation, International Journal of Non-Linear Mechanics, 72 (2015) 16-22
We study the perturbed Burgers-Korteweg-de Vries equation. This equation can be used for the description of nonlinear waves in a liquid with gas bubbles and for the description of nonlinear waves on a fluid layer flowing down an inclined plane. We in
Externí odkaz:
http://arxiv.org/abs/1608.00833
Publikováno v:
Physics Letters A 379.8 (2015): 798-802
Recently, an asymptotic solution of the Rayleigh equation for an empty bubble in $N$ dimensions has been obtained. Here we give the closed--from general analytical solution of this equation. We also find the general solution of the Rayleigh equation
Externí odkaz:
http://arxiv.org/abs/1608.00811
The logistic function is shown to be solution of the Riccati equation, some second-order nonlinear ordinary differential equations and many third-order nonlinear ordinary differential equations. The list of the differential equations having solution
Externí odkaz:
http://arxiv.org/abs/1409.6896
Polynomial dynamical systems describing interacting particles in the plane are studied. A method replacing integration of a polynomial multi--particle dynamical system by finding polynomial solutions of a partial differential equations is described.
Externí odkaz:
http://arxiv.org/abs/1407.1641