Date–Jimbo–Kashiwara–Miwa方程的（2+1）维变系数扩展：李对称性分析、最优系统和精确解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-07-07 DOI:10.1515/ijnsns-2021-0406

Yuru Hu, Feng Zhang, Xiangpeng Xin, Hanze Liu

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引用次数: 0

摘要

摘要本文将Date-Jimbo-Kashiwara-Miwa方程推广为一个新的关于时间变量的变系数方程。通过对该方程的李对称分析，得到了该方程的无穷小生成子，并给出了该方程的最优解。然后对方程进行相似性约简，利用行波变换将约简后的偏微分方程转化为常微分方程。然后，应用扩展的tanh函数方法求出了精确解。最后，借助图像展示了不同时刻精确解的结构特征。

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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A (2 + 1)-dimensional variable-coefficients extension of the Date–Jimbo–Kashiwara–Miwa equation: Lie symmetry analysis, optimal system and exact solutions

Abstract In this article, the Date–Jimbo–Kashiwara–Miwa equation is extended to a new variable-coefficients equation with respect to the time variable. The infinitesimal generators are acquired by studying the Lie symmetry analysis of the equation, and the optimal system of this equation is presented. After that, the equation performed similarity reductions, and the reduced partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) with the help of traveling wave transform. Then, the exact solutions are found by applying the extended tanh-function method. Finally, the structural features of exact solutions to different times are shown with the help of images.

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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.