Soliton solutions for Boussinesq-like equations with spatio-temporal dispersion

被引：54
|
作者：
Darvishi, M. T. [1 ]
Najafi, M. [1 ]
Wazwaz, A. M. [2 ]
机构：
[1] Razi Univ, Dept Math, Kermanshah 67149, Iran
[2] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
来源：
OCEAN ENGINEERING | 2017年 / 130卷
关键词：
Boussinesq-like equations; Semi-inverse variational principle; Soliton solution; TRAVELING-WAVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; COMPACT SUPPORT; WELL-POSEDNESS; CAUCHY-PROBLEM;
D O I：
10.1016/j.oceaneng.2016.11.052
中图分类号：
U6 [水路运输]; P75 [海洋工程];
学科分类号：
0814 ; 081505 ; 0824 ; 082401 ;
摘要：
This paper addresses the soliton solutions for a variety of Boussinesq-like equations with spatio-temporal dispersion. The semi-inverse variational principle (SVP) is applied to obtain these solutions. The derived solutions address the dynamics of thin inviscid layers with free surface, solitons solutions, and other nonlinear phenomena. The structures of the obtained solutions were carried out and illustrated, and can provide feasible basis for studying surface water models.
引用
收藏
页码：228 / 240
页数：13
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