One method for finding exact solutions of nonlinear differential equations

被引：601
作者：
Kudryashov, Nikolay A. [1 ]
机构：
[1] Natl Res Nucl Univ, Dept Appl Math, MEPhI, Moscow 115409, Russia
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 06期
关键词：
Nonlinear evolution equation; Traveling wave solution; Fisher equation; Nonlinear differential equation of the seven order; TRAVELING-WAVE SOLUTIONS; SIMPLEST EQUATION; EVOLUTION; KDV;
D O I：
10.1016/j.cnsns.2011.10.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
One of old methods for finding exact solutions of nonlinear differential equations is considered. Modifications of the method are discussed. Application of the method is illustrated for finding exact solutions of the Fisher equation and nonlinear ordinary differential equation of the seven order. It is shown that the method is one of the most effective approaches for finding exact solutions of nonlinear differential equations. Merits and demerits of the method are discussed. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：2248 / 2253
页数：6
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