The EHTA for nonlinear evolution equations

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摘要

Two types of important nonlinear evolution equations are investigated by using the extended homoclinic test approach (EHTA). Some exact soliton solutions including breather type of soliton, periodic type of soliton and two soliton solutions are obtained. These results show that the extended homoclinic test technique together with the bilinear method is a simple and effective method to seek exact solutions for nonlinear evolution equations.

论文关键词:Nonlinear evolution equations,Extended homoclinic test approach,Hirota bilinear form,Breather type of soliton,Periodic type of soliton

论文评审过程:Available online 21 October 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.09.069