Complex traveling wave solutions to the Fisher equation

被引：21
|
作者：
Feng, Zhaosheng [1 ]
Li, Yang
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
[2] Texas A&M Univ, Dept Phys, College Stn, TX 77843 USA
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2006年 / 366卷 / 01期
基金：
中国国家自然科学基金;
关键词：
traveling waves; first integral; fisher equation; autonomous system;
D O I：
10.1016/j.physa.2005.10.058
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
There is the widespread existence of wave phenomena in physics, chemistry and biology. This clearly necessitates a study of traveling waves in depth and of the modeling and analysis involved. In the present paper, we study the Fisher equation by means of the first integral method, which is based on the ring theory of commutative algebra. A traveling wave solution is obtained, which indicates that the analytical solutions in the literature are particular cases of our result. (c) 2005 Elsevier B.V. All rights reserved.
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页码：115 / 123
页数：9
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