Single and multiple-soliton solutions for the (2+1)-dimensional KdV equation
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摘要
The (2+1)-dimensional KdV equation is studied by four distinct methods. The Hirota’s bilinear method is used to derive multiple-soliton solutions for this completely integrable equation. The tanh–coth method and the cosh ansatz are used to obtain single soliton solutions and travelling wave solutions. The Exp-function method gives travelling wave solutions with some free parameters. The work highlights the reliability of the four methods.
论文关键词：Hirota bilinear method,tanh–coth Method,Cosh ansatz,Exp-function method,Multiple-soliton solutions,(2+1)-dimensional KdV equation
论文评审过程：Available online 30 May 2008.
论文官网地址：https://doi.org/10.1016/j.amc.2008.05.126
