关于非交换修正 KP 系统

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

Theoretical and Mathematical Physics Pub Date : 2024-11-26 DOI:10.1134/S0040577924110072

Zheng Wang, Chuanzhong Li

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引用次数: 0

摘要

我们研究了库珀什米德-基索版本的非交换修正 KP 层次结构和非交换约束修正 KP 层次结构的规规变换。通过引入依赖于时间变量和敷料算子的奥洛夫-舒尔曼算子，我们构建了非交换修正 KP 层次的量子环对称性。我们还给出了非交换约束修正 KP 层次的递归算子。我们提出了一个扩展的非交换修正 KP 层次结构。构建了非交换修正 KP 流与扩展非交换修正 KP 流之间的相容方程。

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On noncommutative modified KP systems

We investigate the gauge transformations of the noncommutative modified KP hierarchy and the noncommutative constrained modified KP hierarchy in the Kupershmidt–Kiso version. By introducing the Orlov–Schulman operator, which depends on time variables and dressing operators, we construct the quantum torus symmetry for the noncommutative modified KP hierarchy. We also give a recursion operator for the noncommutative constrained modified KP hierarchy. We present an extended noncommutative modified KP hierarchy. The compatibility equations between the noncommutative modified KP flows and the extended noncommutative modified KP flows are constructed.

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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.