A generalized (G′/G)-expansion method and its applications to nonlinear evolution equations

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摘要

In this paper, a generalized (G′/G)-expansion method and its algorithm are proposed by studying Wang’s (G′/G)-expansion method and constructing a first order nonlinear ordinary differential equation with a third-degree nonlinear term. Being concise and straightforward, the method is applied to combined KdV–MKdV equation and coupled Jaulent–Miodek equation. As a result, some new exact travelling wave solutions are obtained which include solitary wave solutions, triangular periodic wave solutions, exponential solutions, complex travelling solutions and rational solutions. This method can also be applied to other nonlinear evolution equations in mathematical physics.

论文关键词:Generalized (G′/G)-expansion method,Combined KdV–MKdV equation,Coupled Jaulent–Miodek equation,Travelling wave solution

论文评审过程:Available online 24 November 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.11.021