Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations

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摘要

In this work we formally derive travelling wave solutions for the Burgers, Fisher, Huxley equations and combined forms of these equations. The tanh–coth method is used to determine these sets of travelling wave solutions. Kinks and periodic wave solutions are constructed. The proposed scheme can be used to a wide class of nonlinear evolution equations.

论文关键词:Burgers equation,Fisher’s equation,Huxley equation,Burgers–Fisher equation,Burgers–Huxley equation,tanh–coth method

论文评审过程:Available online 17 May 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.05.020