Hybrid solitary wave solutions of the Camassa–Holm equation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-10-10 DOI:10.1515/ijnsns-2021-0340

H. Omanda, C. T. Djeumen Tchaho, D. Belobo Belobo

引用次数: 1

Abstract

Abstract The Camassa–Holm equation governs the dynamics of shallow water waves or in its reduced form models nonlinear dispersive waves in hyperelastic rods. By using the straightforward Bogning-Djeumen Tchaho-Kofané method, explicit expressions of many solitary wave solutions with different profiles not previously derived in the literature are constructed and classified. Geometric characterizations of the solutions in terms of three new mappings are presented. Intensive numerical simulations carried confirm the stability of the solutions even with relatively high critical velocities and reveal that solitary waves with large widths are more stable than the ones with small widths.

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Camassa-Holm方程的混合孤波解

摘要Camassa–Holm方程控制浅水波的动力学，或以其简化形式模拟超弹性杆中的非线性色散波。利用直接的Bogning-Djeumen-Tchaho-Kofané方法，构造并分类了文献中未导出的许多具有不同轮廓的孤立波解的显式表达式。给出了三个新映射解的几何特征。经过深入的数值模拟，即使在相对较高的临界速度下，也证实了解的稳定性，并揭示了大宽度孤立波比小宽度孤立波更稳定。

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.