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
收藏
页码：634 / 639
页数：6
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