The dynamics of some exact solutions to a (3+1)-dimensional sine-Gordon equation

被引：3
作者：
Guo, Jiaming [1 ]
Li, Maohua [1 ]
机构：
[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Zhejiang, Peoples R China
来源：
WAVE MOTION | 2024年 / 130卷
基金：
中国国家自然科学基金;
关键词：
(3+1)-dimensional sine-Gordon equation; Hirota bilinear method; Kink solutions; Breather solutions; Hybrid solutions; HIROTA 3-SOLITON CONDITION; BILINEAR EQUATIONS; BACKLUND TRANSFORMATION; SEARCH; SOLITONS;
D O I：
10.1016/j.wavemoti.2024.103354
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
In this paper, a (3 + 1) -dimensional sine -Gordon equation is systematically investigated. Firstly, the integrability of the equation is demonstrated by Painlev & eacute; analysis. Secondly, based on the Hirota bilinear method, the N-soliton solution of the (3 + 1) -dimensional sine -Gordon equation is derived. Then, by selecting and establishing conjugate relationships between parameters, the kink solutions, the breather solutions and their hybrid solutions were obtained. Finally, the lump solutions of equation are derived by selecting appropriate functions in the solution. In addition, the dynamic behavior of these solutions is systematically analyzed by their respective density profile plots and three-dimensional diagrams.
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页数：12
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