Travelling Wave Solutions of the Non-Linear Wave Equations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-04-25 DOI:10.2478/ama-2023-0027

J. A. Haider, Sana Gul, J. Rahman, F. Zaman

引用次数: 1

Abstract

Abstract This article focuses on the exact periodic solutions of nonlinear wave equations using the well-known Jacobi elliptic function expansion method. This method is more general than the hyperbolic tangent function expansion method. The periodic solutions are found using this method which contains both solitary wave and shock wave solutions. In this paper, the new results are computed using the closed-form solution including solitary or shock wave solutions which are obtained using Jacobi elliptic function method. The corresponding solitary or shock wave solutions are compared with the actual results. The results are visualised and the periodic behaviour of the solution is described in detail. The shock waves are found to break with time, whereas, solitary waves are found to be improved continuously with time.

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非线性波动方程的行波解

摘要本文利用著名的Jacobi椭圆函数展开法研究非线性波动方程的精确周期解。该方法比双曲正切函数展开法更具有通用性。该方法同时包含了孤立波和激波的周期解。本文用Jacobi椭圆函数法得到的含孤波解或激波解的闭解计算了新的结果。并将相应的孤波解和激波解与实际结果进行了比较。结果是可视化的，并详细描述了解的周期行为。发现激波随时间而破裂，而孤立波随时间而不断改善。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.