Výsledky vyhledávání - "Zhurov, Alexei I"

Report

Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs

Autor: Polyanin, Andrei D., Zhurov, Alexei I.

This note considers fairly general quasi-homogeneous systems of first-order nonlinear ODEs and homogeneous systems of second-order nonlinear ODEs that contain arbitrary functions of several arguments. It presents several exact solutions to these syst

Externí odkaz: http://arxiv.org/abs/2107.10759

Zobrazit plný text záznamu

Akademický článek

Separation of variables in PDEs using nonlinear transformations: Applications to reaction–diffusion type equations

Autor: Polyanin, Andrei D. ^{a, c, b}, Zhurov, Alexei I. ^{a, d, ⁎}

Publikováno v: In Applied Mathematics Letters February 2020 100

Zobrazit plný text záznamu

Report

A new method for constructing exact solutions to nonlinear delay partial differential equations

Autor: Polyanin, Andrei D., Zhurov, Alexei I.

We propose a new method for constructing exact solutions to nonlinear delay reaction--diffusion equations of the form $$ u_t=ku_{xx}+F(u,w), $$ where $u=u(x,t)$, $w=u(x,t-\tau)$, and $\tau$ is the delay time. The method is based on searching for solu

Externí odkaz: http://arxiv.org/abs/1304.5473

Zobrazit plný text záznamu

Report

The Crocco transformation: order reduction and construction of Backlund transformations and new integrable equations

Autor: Polyanin, Andrei D., Zhurov, Alexei I.

Wide classes of nonlinear mathematical physics equations are described that admit order reduction through the use of the Crocco transformation, with a first-order partial derivative taken as a new independent variable and a second-order partial deriv

Externí odkaz: http://arxiv.org/abs/0907.3170

Zobrazit plný text záznamu

Report

The von Mises transformation: order reduction and construction of Backlund transformations and new integrable equations

Autor: Polyanin, Andrei D., Zhurov, Alexei I.

Wide classes of nonlinear mathematical physics equations are described that admit order reduction through the use of the von Mises transformation, with the unknown function taken as the new independent variable and an appropriate partial derivative t

Externí odkaz: http://arxiv.org/abs/0907.0586

Zobrazit plný text záznamu