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

IF 2.1 3区物理与天体物理 Q2 ACOUSTICS

Wave Motion Pub Date : 2024-06-05 DOI:10.1016/j.wavemoti.2024.103354

Jiaming Guo, Maohua Li

引用次数: 0

Abstract

In this paper, a $(3 + 1)$ -dimensional sine-Gordon equation is systematically investigated. Firstly, the integrability of the equation is demonstrated by Painlevé 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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(3+1)维正弦-戈登方程一些精确解的动力学特性

本文系统地研究了 (3+1) 维正弦-戈登方程。首先，通过 Painlevé 分析证明了方程的可整性。其次，基于 Hirota 双线性方法，导出了 (3+1)-dimensional 正弦-戈登方程的 N 索利子解。然后，通过选择和建立参数间的共轭关系，得到了扭结解、呼吸解及其混合解。最后，通过在解中选择适当的函数，得出方程的块解。此外，还通过各自的密度曲线图和三维图对这些解的动态行为进行了系统分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Wave Motion 物理-力学

CiteScore

4.10

自引率

8.30%

发文量

118

审稿时长

3 months

期刊介绍： Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.