A multi-component super integrable Dirac hierarchy

被引：3
|
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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