(3+1)-dimensional BKP-Boussinesq-like equation 的块解和交互解

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-11-05 DOI:10.1016/j.jmaa.2024.129030

Xiyan Yang, Liangping Tang, Xinyi Gu, Wenxia Chen, Lixin Tian

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引用次数: 0

摘要

本文分析了 (3+1) 维 BKP-Boussinesq 类方程，该方程被广泛用于描述和理解非线性波现象。我们扩展了 Hirota 的双线性方法，得到了广义双线性算子。当质数 p=3 时，构建了 BKP-Boussinesq 类方程的广义双线性形式。基于其双线性表达式，我们探索了方程的块解和块-孤子解，并用曲线图分析了孤子解的动态特征和性质。

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Lump and interaction solutions to a (3+1)-dimensional BKP-Boussinesq-like equation

This paper analyzes the (3+1)-dimensional BKP-Boussinesq-like equation, which is widely used to describe and understand nonlinear wave phenomena. We extend Hirota's bilinear method and obtain the generalized bilinear operator. When the prime number

p = 3

, the generalized bilinear form of BKP-Boussinesq-like equation is constructed. Based on its bilinear expression, we explore the lump and lump-soliton solutions to the equation, and analyze the dynamic characteristics and properties of soliton solutions with plots.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.