Painleve analysis and exact solutions of the nonlinear diffusion equation with a polynomial source

被引：0

作者：

Kudryashov, Nikolay A. ^{[1
]}

Gaiur, Ilya Y. ^{[1
]}

机构：

[1] Natl Res Nucl Univ MEPHI, Dept Appl Math, 31 Kashirskoe Shosse, Moscow 115409, Russia

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

nonlinear diffusion equation; polynomial source; Painleve analysis; exact solutions; FITZHUGH-NAGUMO EQUATION; DIFFERENTIAL-EQUATIONS; SIMPLEST EQUATION; FISHER EQUATION;

D O I：

10.1002/mma.3497

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonlinear diffusion equation with a polynomial source is considered. The Painleve analysis of equation has been studied. Exact traveling wave solutions in the simplest cases have been found. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：488 / 497

页数：10

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