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

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

引用次数: 0

Abstract

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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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

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。

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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

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