Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation

被引：96

作者：

Helal, M. A. ^{[1
]}

Seadawy, A. R. ^{[2
,3
]}

Zekry, M. H. ^{[3
]}

机构：

[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt

[2] Taibah Univ, Fac Sci, Dept Math, Al Ula, Saudi Arabia

[3] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷

关键词：

Nonlinear Boussinesq water wave equation; Extended auxiliary equation method; Soliton like solutions; Stability analysis solutions; (G'/G)-EXPANSION METHOD; SHALLOW-WATER; EVOLUTION; FORM; TANH;

D O I：

10.1016/j.amc.2014.01.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present study, the nonlinear Boussinesq type equation describe the bi-directional propagation of small amplitude long capillary-gravity waves on the surface of shallow water. By using the 'extended auxiliary equation method, we obtained some new soliton like solutions for the two-dimensional fourth-order nonlinear Boussinesq equation with constant coefficient. These solutions include symmetrical, non-symmetrical kink solutions, solitary pattern solutions, Jacobi and Weierstrass elliptic function solutions and triangular function solutions. The stability analysis for these solutions are discussed. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1094 / 1103

页数：10

共 59 条

[1] The Adomian decomposition method for solving the Boussinesq equation arising in water wave propagation [J].