Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations

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摘要

The application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is considered. Some classes of solitary wave solutions for the families of nonlinear evolution equations of fifth, sixth and seventh order are obtained. The efficiency of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is demonstrated.

论文关键词:Kudryashov method,Nonlinear evolution equations,Nonlinear differential equations,Ordinary differential equations,Exact solutions

论文评审过程:Available online 2 October 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.09.027