Using (G′/G)-expansion method to seek the traveling wave solution of Kolmogorov-Petrovskii-Piskunov equation

被引：50

作者：

Feng, Jishe ^{[1
]}

Li, Wanjun ^{[1
]}

Wan, Qiaoling ^{[1
]}

机构：

[1] Longdong Univ, Dept Math, Qingyang 745000, Gansu, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 12期

关键词：

(G '/G)-expansion method; Kolmogorov-Petrovskii-Piskunov equation; Traveling wave solution; NONLINEAR EVOLUTION-EQUATIONS; EXPANSION METHOD; MATHEMATICAL PHYSICS; SYMBOLIC COMPUTATION; EXPLICIT SOLUTIONS;

D O I：

10.1016/j.amc.2010.12.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the (G'/G)-expansion method to seek the traveling wave solutions of the Kolmogorov-Petrovskii-Piskunov equation. The solutions obtained in this paper are more general than the solutions given in Refs. [23-25], and the computation procedure is much simpler. It is shown that the (G'/G)-expansion method provides a very effective and powerful tool for solving nonlinear equations in mathematical physics. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：5860 / 5865

页数：6