Multiple-soliton solutions of two extended model equations for shallow water waves

被引：59

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 201卷 / 1-2期

关键词：

Hirota bilinear method; tanh-coth method; multiple-soliton solutions; shallow water waves equations;

D O I：

10.1016/j.amc.2008.01.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Multiple-soliton solutions for two extensions of model equations for shallow water waves, presented in [M. J. Ablowitz, D. J. Kaup, A. C. Newell, H. Segur, The inverse scattering transform-Fourier analysis for nonlinear problems, Stud. Appl. Math. 53 (1974) 249-315; R. Hirota, J. Satsuma, N-soliton solutions of model equations for shallow water waves, J. Phys. Soc. Jpn. 40 (2) (1976) 611-612] are obtained. The two extensions possess identical dispersion relations but with different structures for the N-soliton solutions for N > 1. The Hirota bilinear method is used to determine multiple-soliton solutions of sech-squared type for these extended equations. The tanh-coth method is used to obtain single soliton solutions. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：790 / 799

页数：10

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