Soliton Solutions for Some Nonlinear Partial Differential Equations in Mathematical Physics Using He's Variational Method

被引：17
作者：
Elboree, Mohammed K. [1 ]
机构：
[1] South Valley Univ, Fac Sci, Math Dept, Qena, Egypt
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2020年 / 21卷 / 02期
关键词：
variational principle; (3+1)-dimensional nonlinear wave in liquid; Bogoyavlensky-Konopelchenko equation; a new coupled Kadomtsev-Petviashvili (KP) equation; soliton solutions; TRAVELING-WAVE SOLUTIONS; SEMI-INVERSE METHOD; PERIODIC-WAVE; PRINCIPLES; SYSTEM;
D O I：
10.1515/ijnsns-2018-0188
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we constructed the variational principles for Bogoyavlensky Konopelchenko equation, the generalized (3+1)-dimensional nonlinear wave in liquid containing gas bubbles and a new coupled Kadomtsev-Petviashvili (KP) equation via He's semi-inverse method. Based on this formulation, we obtained the solitary wave solutions via Ritz method. We explained the properties of the soliton waves numerically by some figures. Finally, the physical interpretation for these solutions are obtained.
引用
收藏
页码：147 / 158
页数：12
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