Travelling wave solutions to Zufiria's higher-order Boussinesq type equations

被引：2
|
作者：
Gao, Liang [1 ]
Ma, Wen-Xiu [2 ]
Xu, Wei [1 ]
机构：
[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Zufiria's higher-order Boussinesq type equations; Periodic wave; Solitary wave; Periodic-like wave; Soliton-like wave; Jacobi elliptic function periodic wave; Weierstrass elliptic function periodic; Rational solutions; JACOBI ELLIPTIC FUNCTION; VARIABLE SEPARATION SOLUTIONS; FUNCTION EXPANSION METHOD; SOLITARY WAVE; SHALLOW-WATER; BACKLUND TRANSFORMATION; SYMBOLIC COMPUTATION; PERIODIC-SOLUTIONS; F-EXPANSION; KDV-MKDV;
D O I：
10.1016/j.na.2008.11.069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Zufiria's higher-order Boussinesq type equations are studied by transforming them into solvable ordinary differential equations. Various families of their travelling wave solutions are generated, which include periodic wave, solitary wave, periodic-like wave, soliton-like wave, Jacobi elliptic function periodic wave, combined non-degenerative Jacobi elliptic function-like wave, Weierstrass elliptic function periodic and rational solutions. The presented approach can be also applied to nonlinear wave equations with variable coefficients in mathematical physics and mechanics. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：E711 / E724
页数：14
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