A reaction-diffusion equation and its traveling wave solutions

被引：5

作者：

Feng, Zhaosheng ^{[1
]}

Chen, Goong ^{[2
]}

Meng, Qingguo ^{[3
]}

机构：

[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78539 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[3] Tianjin Univ Technol & Educ, Dept Mech, Tianjin 300222, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2010年 / 45卷 / 06期

关键词：

Traveling waves; Fisher equation; Cole-Hopf transformation; Infinitesimal generator; Prolonged operator; Lie symmetry; ANALYTIC SOLUTIONS; FISHER EQUATION; QUALITATIVE-ANALYSIS; PAINLEVE ANALYSIS; SYSTEM;

D O I：

10.1016/j.ijnonlinmec.2010.03.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the present paper, we study a non-linear reaction-diffusion equation, which can be considered as a generalized Fisher equation. An exact solution and traveling wave solutions to the generalized Fisher equation are obtained by means of the Cole-Hopf transformation and the Lie symmetry method. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：634 / 639

页数：6

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