一般天体方程的两分量可积分扩展

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-20 DOI:10.1007/s13324-024-00961-8

Wojciech Kryński, Artur Sergyeyev

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引用次数: 0

摘要

我们引入了一般天体方程的可积分双分量扩展，并证明该扩展的解与 4 维超副赫米特度量一一对应。此外，我们还证明，如果相关的度量是超副凯勒度量，那么我们的系统就会还原为一般天体方程。我们还为所研究的系统提出了非局部对称性的无限层次以及递归算子。

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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Two-component integrable extension of general heavenly equation

We introduce an integrable two-component extension of the general heavenly equation and prove that the solutions of this extension are in one-to-one correspondence with 4-dimensional hyper-para-Hermitian metrics. Furthermore, we demonstrate that if the metrics in question are hyper-para-Kähler, then our system reduces to the general heavenly equation. We also present an infinite hierarchy of nonlocal symmetries, as well as a recursion operator, for the system under study.

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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.