大型 BKP 层次结构的对称性

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2024-11-20 DOI:10.1007/s13324-024-00992-1

Wenchuang Guan, Shen Wang, Jipeng Cheng

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引用次数: 0

摘要

本文研究了大 BKP 层次结构（又称 B 型户田层次结构）的对称性。我们首先用附加对称的方法构造大 BKP 层次的对称性。然后，我们推导出 Adler-Shiota-van Morebeke 公式，将附加对称性对 Lax 算子和 tau 函数的作用联系起来。

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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Symmetries of large BKP hierarchy

Symmetries of the large BKP hierarchy, also known as Toda hierarchy of B type, are investigated in this paper. We firstly construct symmetries of the large BKP hierarchy by the method of additional symmetries. Then we derive Adler–Shiota–van Morebeke formula to link the actions of additional symmetries on Lax operators and tau functions.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.