Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota’s method, tanh–coth method and Exp-function method

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摘要

The generalized short wave equation (GSWW) is studied by three distinct methods. The Hirota’s bilinear method is used to derive multiple-soliton solutions for the completely integrable forms of the GSWW equation. The tanh–coth method is used to obtain single-soliton solutions for this equation. The Exp-function method is also applied to derive a variety of travelling wave solutions with distinct physical structures for this non-linear evolution equation.

论文关键词:Hirota bilinear method,tanh–coth method,Exp-function method,Multiple-soliton solutions,Generalized shallow water wave equation

论文评审过程:Available online 20 February 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.02.013