A multi-component super integrable Dirac hierarchy

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 co...

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Bibliographic Details
Published inPhysics letters. B Vol. 847; p. 138323
Main Authors Wang, Haifeng, Zhang, Yufeng, Li, Chuanzhong
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.12.2023
Elsevier
Subjects
Lie superalgebra
Multi-component super Dirac hierarchy
Super Hamiltonian structure
Super Hamiltonian structure
Multi-component super Dirac hierarchy
Lie superalgebra
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2023.138323