浅水波浪中新型模型的动力学分析和孤子结构提取

IF 1.8 4区物理与天体物理 Q3 PHYSICS, APPLIED

Modern Physics Letters B Pub Date : 2024-04-29 DOI:10.1142/s0217984924503846

Nauman Raza, Nahal Jannat, Ghada Ali Basendwah, Ahmet Bekir

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引用次数: 0

摘要

在本研究中，我们利用新颖的自动-贝克隆变换和扩展变换有理函数方法来分析扩展还原的吉姆波-米瓦方程，这是 KP 层次中的一个重要方程。我们利用同质平衡技术推导出该方程的自动-贝克隆变换，从而提取出新的精确解，并展示出孤模式。此外，我们还应用了扩展的有理函数变换方法，该方法依赖于治理方程的 Hirota 双线性形式，以生成复立子解。此外，我们还加入了三维图形，将获得的解可视化。

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Dynamical analysis and extraction of solitonic structures of a novel model in shallow water waves

In this study, we utilized a novel auto-Bäcklund transformation and the extended transformed rational function approach to analyze the extended reduced Jimbo–Miwa equation, a prominent equation within the KP hierarchy. The homogenous balance technique was employed to derive the auto-Bäcklund transformation of the equation, leading to the extraction of new exact solutions exhibiting solitary patterns. Additionally, we applied the extended transformed rational function method, which relies on the Hirota bilinear form of the governing equation, to generate complexiton solutions. Furthermore, we included 3D graphics visualizing the obtained solutions.

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来源期刊

Modern Physics Letters B 物理-物理：凝聚态物理

CiteScore

3.70

自引率

10.50%

发文量

235

审稿时长

5.9 months

期刊介绍： MPLB opens a channel for the fast circulation of important and useful research findings in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low-dimensional materials. The journal also contains a Brief Reviews section with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.