Solitary wave and periodic wave solutions for Burgers, Fisher, Huxley and combined forms of these equations by the (𝐺′/𝐺)-expansion method

Pramana

Jalil Manafian1¹  Mehrdad Lakestani¹ 

[1] Department of Applied Mathematics, Faculty of Mathematics Science, University of Tabriz, Tabriz, Iran$$

关键词: The generalized (𝐺′/𝐺)-expansion method;    Burgers equation;    Fisher’s equation;    Huxley equation;    Burgers–Fisher equation;    Burgers–Huxley equation.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

An application of the (𝐺′/𝐺)-expansion method to search for exact solutions of nonlinear partial differential equations is analysed. This method is used for Burgers, Fisher, Huxley equations and combined forms of these equations. The (𝐺′/𝐺)-expansion method was used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. This method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that the (𝐺′/𝐺)-expansion method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.

【 授权许可】

Unknown