On the constrained $q$-mKP hierarchy: Additional symmetry and a hidden Virasoro algebraic structure

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-05-24 DOI:10.1134/S0040577924050076

Song Li, Kelei Tian, Ying Xu, Ge Yi

引用次数: 0

Abstract

We construct the additional symmetry of the constrained $q$-mKP hierarchy. The new modified operator is introduced. The flows and additional flows acting on the modified operator are given. The additional flows acting on the eigenfunction and the adjoint eigenfunction are presented. The hidden Virasoro algebraic structure in the additional symmetry of the constrained $q$-mKP hierarchy is given.

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关于受约束的 $$q$$-mKP 层次结构：附加对称性和隐藏的维拉索罗代数结构

我们构建了受约束的 $q$-mKP 层次的附加对称性。引入了新的修正算子。给出了作用于修正算子的流和附加流。介绍了作用于特征函数和邻接特征函数的附加流。给出了受约束的 $q$-mKP 层次结构的附加对称性中隐藏的维拉索罗代数结构。

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

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.

On the constrained \(q\)-mKP hierarchy: Additional symmetry and a hidden Virasoro algebraic structure

Abstract