研究非线性物理学中的（3+1）维 B 型 Kadomtsev-Petviashvili 方程：多重孤子解、块解和呼吸波解

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-10-23 DOI:10.1016/j.chaos.2024.115668

Abdul-Majid Wazwaz

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引用次数: 0

摘要

在这项工作中，我们研究了在许多非线性物理应用中出现的扩展 (3+1)-dimensional B 型 Kadomtsev-Petviashvili (BKP) 方程。我们通过 Painlevé 分析表明，这个扩展方程保持了其完全的可整性。我们利用 Hirota 双线性方法探索了多重孤子解。此外，我们还推导出了块解，并对两个数值实例进行了测试。我们还使用各种不同的方案探索了呼吸波解决方案。我们还确定了其他行波解、有理解、周期解、指数解、三角函数或双曲函数的比值等。

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Study on a (3+1)-dimensional B-type Kadomtsev–Petviashvili equation in nonlinear physics: Multiple soliton solutions, lump solutions, and breather wave solutions

In this work, we study an extended (3+1)-dimensional B-type Kadomtsev–Petviashvili (BKP) equations that appear in many nonlinear physics applications. We show that this extended equation retains its complete integrability via Painlevé analysis. We explore multiple soliton solutions by using the Hirota bilinear method. Moreover, we derive lump solutions where two numerical examples are tested. Breather wave solutions were also explored by using a variety of distinct schemes. We also determine other traveling wave solutions, rational solutions, periodic solutions, exponential solutions, ratio of trigonometric or hyperbolic functions, and others.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.