Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Kaptsov, O. V."'
Autor:
Kaptsov, O. V.
The article explores the acoustic equations in inhomogeneous media and the linearized shallow water equations. Two methods for integrating these equations are proposed. The first method is based on the of the Laplace cascade method, while the second
Externí odkaz:
http://arxiv.org/abs/2410.13197
Autor:
Kaptsov, O. V.
The article introduces contact germs that transform solutions of some partial differential equations into solutions of other equations. Parametric symmetries of differential equations generalizing point and contact symmetries are defined. New transfo
Externí odkaz:
http://arxiv.org/abs/2404.01955
Autor:
Kaptsov, O. V.
The Euler equations describing two-dimensional steady flows of an inviscid fluid are studied. These equations are reduced to one equation for the stream function and then, using the Hirota function, solutions of three nonlinear elliptic equations are
Externí odkaz:
http://arxiv.org/abs/2202.06294
Autor:
Kaptsov, O. V.
In this paper, we consider the problem of formal iteration. We construct an area preserving mapping which does not have any square root. This leads to a counterexample to Moser's existence theorem for an interpolation problem. We give examples of for
Externí odkaz:
http://arxiv.org/abs/2008.08429
Autor:
Kaptsov, O. V., Kaptsov, D. O.
This article is devoted to exact solutions of the Boussinesq equation that models nonlinear shallow water waves. For this we use the Hirota bilinear method and differential constrains. Out solutions describe in particular the motion of the wave packe
Externí odkaz:
http://arxiv.org/abs/1805.08401
Autor:
Kaptsov, O. V.1 (AUTHOR) kaptsov@icm.krasn.ru, Kaptsov, D. O.1 (AUTHOR) hot.dok@gmail.com
Publikováno v:
Fluid Dynamics. Dec2023, Vol. 58 Issue 7, p1227-1234. 8p.
Autor:
Kaptsov, O. V.1 (AUTHOR) kaptsov@icm.krasn.ru
Publikováno v:
Journal of Applied Mechanics & Technical Physics. Apr2023, Vol. 64 Issue 2, p230-239. 10p.
Autor:
Kaptsov, O. V., Schmidt, A. V.
A semi-empirical three-dimensional model of turbulence in the approximation of the far turbulent wake behind a body of revolution in a passive stratified medium is considered. The sought quantities are the kinetic turbulent energy, kinetic energy dis
Externí odkaz:
http://arxiv.org/abs/0912.2890
Autor:
Pelinovsky, E. N.1 (AUTHOR) pelinovsky@appl.sci-nnov.ru, Kaptsov, O. V.2 (AUTHOR) kaptsov@icm.krasn.ru
Publikováno v:
Doklady Physics. Oct2022, Vol. 67 Issue 10, p415-419. 5p.
Autor:
Kaptsov, O. V., Zabluda, A. V.
We develop method that allows to derive reductions and solutions to hyperbolic systems of partial differential equations. The method is based on using functions that are constant in the direction of characteristics of the system. These functions gene
Externí odkaz:
http://arxiv.org/abs/nlin/0410026