Burgers-Huxley方程的精确行波解

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中图分类号：O175.29 文献标志码：A 文章编号： 1000-5013（2025）04-0470-06

Exact Traveling Wave Solutions Burgers-Huxley Equation

JIA Huilin WEN Zhenshu ZHANG Xiaoya

Abstract： Various kinds exact traveling wave solutions Burgers-Huxley equation by using （G/G） -expansion method and F -expansion method are obtained respectively. The research results show that one can only obtain the solutions Burgers-Huxley equation under the condition λ2-4μ>0 by （G/G） -expansion method， while one can only find the solutions Burgers-Huxley equation under some special conditions by Fδ -expansion method.

Keywords： Burgers-Huxley equation; （G′/G） -expansion method; F -expansion method;exact traveling wave solution

1预备知识

Burgers-Huxley（BH）方程是一类重要的非线性反应扩散方程，其形式为

ut+pux-uxx+qu（u-1）（u-s）=0o

式（1）中： ϕ，q，s 均为非零常数。（剩余5459字）