Single and multiple-soliton solutions for the (2+1)-dimensional KdV equation
Single and multiple-soliton solutions for the (2+1)-dimensional KdV equation
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DOI：
10.1016/j.amc.2008.05.126
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发表时间：
2008-10
期刊：
影响因子：
--
通讯作者：
A. Wazwaz
中科院分区：
文献类型：
--
作者：
A. Wazwaz
用四种不同的方法研究了（2+1）维KdV方程。利用Hirota双线性方法推导了该完全可积方程的多孤子解。利用tanh-coth方法和cosh分析方法得到了单孤子解和行波解。exp函数法给出了带有自由参数的行波解。研究结果表明了四种方法的可靠性。
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.