Generation of multi-component super integrable hierarchy associated with higher-dimensional Lie superalgebra spo(2N,2) and osp(2N,2)
Exactly Solvable and Integrable Systems
2024-05-01 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2401.13233,
title = {Generation of multi-component super integrable hierarchy associated with higher-dimensional Lie superalgebra spo(2N,2) and osp(2N,2)},
author = {Haifeng Wang and Yufeng Zhang and Chuanzhong Li},
journal= {arXiv preprint arXiv:2401.13233},
year = {2024}
}
Comments
The paper is still being improved