数学物理中\((3+1)\)维YTSF模型解析解的局域波和动力学行为

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2025-04-11 DOI:10.1007/s12043-025-02902-x

Yajun Du, Jing Pang

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引用次数: 0

摘要

本文重点研究（(3+1)）维 Yu-Toda-Sassa-Fukuyama （YTSF）模型，该模型是一种具有复杂非线性特征的物理模型，用于描述波在介质中的传播。通过使用广义指数有理函数（GERF）技术，成功获得了不同类型的解析解，包括指数有理解、双曲线解和三角函数解。随后，通过部分解的可视化研究了它们的动态行为和时空演变。此外，我们还讨论了这些发现对理解非线性波现象的意义，并概述了未来的研究方向。

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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Localised waves and dynamical behaviours of analytical solutions to \((3+1)\)-dimensional YTSF model in mathematical physics

This article focusses on the \((3+1)\)-dimensional Yu–Toda–Sassa–Fukuyama (YTSF) model, which is a type of physical model with complex and nonlinear characteristics describing wave propagation in a medium. By using the technique of generalised exponential rational function (GERF), different types of analytical solutions are obtained successfully, including exponential rational solutions, hyperbolic solutions and trigonometric solutions. Subsequently, their dynamic behaviours and temporal-spatial evolutions are investigated through the visualisation of partial solutions. In addition, we discuss the significance of these findings to comprehend nonlinear wave phenomena and outline the future research directions.

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.