On the validity and reliability of the (G′/G)-expansion method by using higher-order nonlinear equations

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摘要

In this study, we demonstrate the validity and reliability of the so-called (G′/G)-expansion method via symbolic computation. For illustrative examples, we choose the sixth-order Boussinesq equation and the ninth-order Korteweg-de-Vries equation. As a result, the power of the employed method is confirmed.

论文关键词:(G′/G)-expansion method,Sixth-order Boussinesq equation,Ninth-order KdV equation,Traveling wave solutions,Solitary wave solutions

论文评审过程:Available online 4 February 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.01.075