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Fisher方程和Burgers-Fisher方程新的精确行波解
黄炯,刘海鸿
云南师范大学数学学院,云南昆明,650092

摘要:

本文研究了Fisher方程和Burgers-Fisher方程.运用一种辅助微分方程方法,得到了这两种非线性偏微分方程新的精确行波解.

关键词: 行波解辅助微分方程法 Fisher方程和Burgers-Fisher方程

DOI：

分类号:O175.2

基金项目:Supported by Natural Science Foundation of Yunnan province(07Y40422;2007A196M)

NEW EXACT TRAVELLING WAVE SOLUTIONS FOR FISHER EQUATION AND BURGERS-FISHER EQUATION

HUANG Jiong,LIU Hai-hong

HUANG Jiong,LIU Hai-hong (School of Mathematics,Yunnan Normal University,Kunming 650092,China)

Abstract:

In this article, we study Fisher equation and Burgers-Fisher equation. By using the method of an auxiliary ODE method, these equations are investigated and new exact travelling wave solutions are explicitly obtained.

Key words: travelling wave solutions auxiliary ODE method Fisher equation and BurgersFisher equation