Travelling wave solutions of the Burgers-Huxley equation

被引：5

作者：

Feng, Zhaosheng ^{[1
]}

Tian, Jing ^{[1
]}

Zheng, Shenzhou ^{[2
]}

Lu, Hanfang ^{[2
]}

机构：

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

[2] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2012年 / 77卷 / 03期

关键词：

Lie symmetry; Burgers-Huxley equation; travelling wave; infinitesimal generator;

D O I：

10.1093/imamat/hxs023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the generalized Burgers-Huxley equation by means of the Lie symmetry method. We apply the Lie symmetry method to derive the linearized symmetry condition. Through analysing the associated determining system, we find two non-trivial infinitesimal generators, and obtain bounded travelling wave solutions by solving the reduced differential equation under certain parametric conditions.

引用

页码：316 / 325

页数：10

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