EXPLICIT AND EXACT NON-TRAVELING WAVE SOLUTIONS OF (3+1)-DIMENSIONAL GENERALIZED SHALLOW WATER EQUATION

被引：3
|
作者：
Liu, Jianguo [1 ]
Zhu, Wenhui [2 ]
Li Zhou [1 ]
He, Yan [1 ]
机构：
[1] Jiangxi Univ Tradit Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China
[2] Nanchang Inst Sci & Technol, Inst Artificial Intelligence, Nanchang 330108, Jiangxi, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 06期
关键词：
Extended (G&PRIME/G)-expansion method; (3+1)-dimensional generalized shallow water equation; non-traveling wave solutions; SOLITON-SOLUTIONS; RATIONAL SOLUTIONS; LUMP; PERTURBATION; EVOLUTION;
D O I：
10.11948/20190112
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a (3+1)-dimensional generalized shallow water equation is considered. New exact solutions in forms of the hyperbolic functions and the trigonometric functions are obtained based on an extended (G'/G)-expansion method and the variable separation method, which contain traveling wave solutions and non-traveling wave solutions. The particular localized excitations and the interactions between two solitary waves for these obtained exact solutions are shown in some three-dimensional graphics.
引用
收藏
页码：2381 / 2388
页数：8
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