Finite-dimensional Lie superalgebra spo(2N, 2) and osp(2N, 2) and their applications
Abstract A new type of high-dimensional Lie superalgebras is constructed, including Lie superalgebras spo(4, 2) and osp(4, 2). Based on it, two different coupled nonisospectral super AKNS hierarchies and their bi-Hamiltonian structures are obtained. Then, the Lie superalgebras spo(4, 2) and osp(4, 2) are expanded to infinite-dimensional Lie superalgebras spo(2N, 2) and osp(2N, 2). It follows that we present the generation of multi-component super integrable hierarchy, and deduce two different multi-component super integrable AKNS hierarchies and their Hamiltonian structures.
Authors
- Haifeng Wang (ORCID: https://orcid.org/0000-0002-1058-7111)
- Yufeng Zhang (ORCID: https://orcid.org/0000-0002-1194-669X)
- Linlin Gui (ORCID: https://orcid.org/0000-0003-1170-9085)
Institutions
- Jimei University (CN)
- China University of Mining and Technology (CN)
Publication Details
- Journal
- Zeitschrift für Naturforschung A
- Published
- 2025-06-24
- DOI
- https://doi.org/10.1515/zna-2025-0126
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Fujian Province