A multi-component super integrable Dirac hierarchy

被引：0

作者：

Wang, Haifeng ^{[1
]}

Zhang, Yufeng ^{[2
]}

Li, Chuanzhong ^{[3
]}

机构：

[1] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China

[2] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

PHYSICS LETTERS B | 2023年 / 847卷

基金：

中国国家自然科学基金;

关键词：

Lie superalgebra; Multi-component super Dirac hierarchy; Super Hamiltonian structure; COUPLINGS; EQUATION; SYSTEMS;

D O I：

10.1016/j.physletb.2023.138323

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We propose a method for generating higher-dimensional nonisospectral super integrable coupling hierarchies associated with a new type of higher-dimensional Lie superalgebra. As applications, we introduce a coupled and a multi-component super Dirac spectral problems respectively, and thus deduce a coupled generalized super integrable Dirac hierarchy and a multi-component generalized super integrable Dirac hierarchy. Additionally, we discuss the super Hamiltonian structures of the resulting higher-dimensional super Dirac hierarchies.

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页数：11

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