On two approaches of finding exact solutions to nonlinear evolution equations

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摘要

In this work we give some discussions on the secq-tanhq method of finding exact solutions to the nonlinear evolution equations presented by Liu and Jiang. We conclude that the method is just one special case of the generalized projective Riccati equation method. Therefore these deformed hyperbolic function solutions do not pertain to a new class. Then based on the generalized projective Riccati equation method more exact solutions of the Hirota–Satsuma coupled KdV systems are obtained.

论文关键词:secq-tanhq method,Generalized projective Riccati equation method,Nonlinear evolution equation,Exact solution,Hirota–Satsuma coupled KdV systems

论文评审过程:Available online 19 April 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.04.013