The new kink type and non-traveling wave solutions of (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

被引：0
|
作者：
Guo, Chunxiao [1 ]
Guo, Yanfeng [2 ]
Wei, Zhouchao [2 ]
Gao, Lihui [1 ]
机构：
[1] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China
[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2024年 / 96卷
基金：
中国国家自然科学基金;
关键词：
Lie group symmetry method; Hirota bilinear form; Extended homoclinic test approach; Kink type solutions; Non-traveling wave solutions; CONSERVATION-LAWS; OPTICAL SOLITONS; BRIGHT;
D O I：
10.1016/j.aej.2024.03.090
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the new solitary wave solutions of the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation are obtained by Lie group symmetry method and the extended homoclinic test approach. Firstly, the equation can be reduced to (1+1)-dimensional partial differential equation by Lie group symmetry, and corresponding bilinear forms of the equation are given by symmetry functions. Secondly, the extended homoclinic test approach is employed to obtain the new kink type and singular solitary wave solutions. In addition, some new traveling and non-traveling wave solutions with arbitrary functions and oscillating tail are investigated through the special transformations for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation.
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页码：34 / 41
页数：8
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