多分量广义非等谱超AKNS可积层次

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

Theoretical and Mathematical Physics Pub Date : 2024-12-25 DOI:10.1134/S0040577924120067

Jinxiu Li, Haifeng Wang

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引用次数: 0

摘要

在非等谱情况下，我们引入了带有扰动项的相关谱问题。得到了一个广义非等谱超AKNS结构和一个与广义李超代数\(sl(2,1)\)和\(sl(4,1)\)相关的耦合广义非等谱超AKNS结构。基于一种新的多分量李超代数\(sl(2N,1)\)，得到了一种多分量广义非等谱超AKNS层次。利用超迹恒等式，得到了所得超可积层次的超双哈密顿结构。

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A multicomponent generalized nonisospectral super AKNS integrable hierarchy

In the nonisospectral case, we introduce the associated spectral problem with a perturbation term. We obtain a generalized nonisospectral super AKNS hierarchy and a coupled generalized nonisospectral super AKNS hierarchy associated with generalized Lie superalgebras \(sl(2,1)\) and \(sl(4,1)\). Based on a new type of multicomponent Lie superalgebra \(sl(2N,1)\), a multicomponent generalized nonisospectral super AKNS hierarchy is obtained. By using the supertrace identity, the super bi-Hamiltonian structures of the resulting superintegrable hierarchies are obtained.

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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.