浅层水波的 ( $$3 + 1$$ )维 Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff 方程与时间相关系数的 N-索利顿和其他解析解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-23 DOI:10.1007/s12346-024-01125-6

Hong-Wen Shan, Bo Tian, Chong-Dong Cheng, Xiao-Tian Gao, Yu-Qi Chen, Hao-Dong Liu

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引用次数: 0

摘要

浅水波出现在磁流体力学、大气科学、海洋学等领域。本文研究了一个 ($3+1$)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff 方程，其中浅水波的系数随时间变化。通过简化 Hirota 方法获得了 N-soliton 解。通过 N 孤子解，我们展示了两个孤子之间以及三个孤子之间的弹性相互作用。我们还通过 tanh 法和（(\frac{G'}{G^{2}}）展开法构建了其他一些解析解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

N-Soliton and Other Analytic Solutions for a ( $$3 + 1$$ )-Dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff Equation with the Time-Dependent Coefficients for the Shallow Water Waves

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Shallow water waves are seen in magnetohydrodynamics, atmospheric science, oceanography and so on. In this article, we study a ($3+1$)-dimensional Korteweg–de Vries–Calogero–Bogoyavlenskii–Schiff equation with the time-dependent coefficients for the shallow water waves. N-soliton solutions are obtained via the simplified Hirota method. Via the N-soliton solutions, we present the elastic interactions between the two solitons and among the three solitons. Some other analytic solutions are constructed through the tanh method and $(\frac{G'}{G^{2}})$-expansion method.

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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.