(1+3)维广义Chaffee-Infante方程的行波解和守恒律

IF 2.5 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

Universe Pub Date : 2023-05-08 DOI:10.3390/universe9050224

M. C. Sebogodi, B. Muatjetjeja, A. R. Adem

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引用次数: 3

摘要

本文旨在分析(1+3)维中具有幂律非线性的广义Chaffee-Infante方程。Ansatz方法被用来提供拓扑和非拓扑孤子解。非线性演化方程的孤子解有几个实际应用，包括等离子体物理和扩散过程，这就是为什么它们变得重要的原因。此外，还证明了对于某些参数值，幂律非线性Chaffee-Infante方程允许有孤子解。还提到了孤子解的要求和限制。对上述方程导出了守恒定律。为了理解底层模型的动态，我们以图形方式显示安全的结果。Hirota的微扰方法包含在多重exp-function技术中，该技术产生包含新一般波频率和相移的多个波解。

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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Traveling Wave Solutions and Conservation Laws of a Generalized Chaffee–Infante Equation in (1+3) Dimensions

This paper aims to analyze a generalized Chaffee–Infante equation with power-law nonlinearity in (1+3) dimensions. Ansatz methods are utilized to provide topological and non-topological soliton solutions. Soliton solutions to nonlinear evolution equations have several practical applications, including plasma physics and the diffusion process, which is why they are becoming important. Additionally, it is shown that for certain values of the parameters, the power-law nonlinearity Chaffee–Infante equation allows solitons solutions. The requirements and restrictions for soliton solutions are also mentioned. Conservation laws are derived for the aforementioned equation. In order to comprehend the dynamics of the underlying model, we graphically show the secured findings. Hirota’s perturbation method is included in the multiple exp-function technique that results in multiple wave solutions that contain new general wave frequencies and phase shifts.

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来源期刊

Universe Physics and Astronomy-General Physics and Astronomy

CiteScore

4.30

自引率

17.20%

发文量

562

审稿时长

24.38 days

期刊介绍： Universe (ISSN 2218-1997) is an international peer-reviewed open access journal focused on fundamental principles in physics. It publishes reviews, research papers, communications, conference reports and short notes. Our aim is to encourage scientists to publish their research results in as much detail as possible. There is no restriction on the length of the papers.