In the Shallow Water: Auto-Bäcklund, Hetero-Bäcklund and Scaling Transformations via a (2+1)-Dimensional Generalized Broer-Kaup System

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-06 DOI:10.1007/s12346-024-01025-9

Xin-Yi Gao

引用次数: 0

Abstract

These days, watching the shallow water waves, people think about the nonlinear Broer-type models, e.g., a (2+1)-dimensional generalized Broer-Kaup system modeling, e.g., certain nonlinear long waves in the shallow water. For that system, with reference to, e.g., the wave height and wave horizontal velocity, this paper avails of symbolic computation to obtain (A) an auto-Bäcklund transformation with some solitons; (B) a group of the scaling transformations and (C) a group of the hetero-Bäcklund transformations, to a known linear partial differential equation, from that system. Results rely on the coefficients in that system

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浅水区：通过 (2+1)-Dimensional Generalized Broer-Kaup System（2+1）维广义 Broer-Kaup 系统实现自贝克兰德、异贝克兰德和缩放变换

如今，人们在观察浅水波浪时，会想到非线性布罗尔（Broer）型模型，如模拟浅水中某些非线性长波的（2+1）维广义布罗尔-考普（Broer-Kaup）系统。对于该系统，参考波高和波的水平速度等因素，本文利用符号计算从该系统中获得：(A) 带有一些孤子的自贝克莱变换；(B) 一组缩放变换和 (C) 一组异贝克莱变换，并将其转换为已知的线性偏微分方程。结果取决于该系统中的系数

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.