Exact Solutions of the Equation of a Nonlinear Conductor Model

被引：1

作者：

Aristov, A. I. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

DIFFERENTIAL EQUATIONS | 2020年 / 56卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S0012266120090013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlinear Sobolev equation of the third order describing the electric field potential in a conductor. Six classes of exact solutions are constructed, and their qualitative behavior is analyzed.

引用

页码：1113 / 1118

页数：6

共 7 条

[1]

Hayashi N., 2006, LECT NOTES MATH, V1884

[2] Global unsolvability of a nonlinear conductor model in the quasistationary approximation [J].

Korpusov, M. O. ;

Yushkov, E. V. .

THEORETICAL AND MATHEMATICAL PHYSICS, 2017, 191 (01) :471-479

[3]

Korpusov M.O, 2010, Blow -Up in Nonclassical Nonlocal Equations

[4]

Kudryashov NA, 2010, METODY NELINEINOI MA

[5]

Polyanin A.D., 2002, Handbook of Nonlinear Equations of Mathematical Physics: Exact Solutions

[6]

Polyanin A. D, 2005, Methods for solving nonlinear equations of mathematical physics and mechanics

[7]

Sveshnikov A.G., 2007, Linear and Nonlinear Equations of the Sobolev Type

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