Generation of multi-component super integrable hierarchy associated with higher-dimensional Lie superalgebra spo(2N,2) and osp(2N,2)

Haifeng Wang, Yufeng Zhang, Chuanzhong Li

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 hie…