A generalized super AKNS hierarchy associated with orthosymplectic Lie superalgebra OSP(2, 2) and its super bi‐Hamiltonian structures. (20th January 2020)

• Record Type: Journal Article
• Authors: Yu, Jing; Han, Jingwei; Li, Chuanzhong
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 6(2020)
• Page Start: 3076
• Page End: 3085
• Publication Date: 2020-01-20
• Subjects: GSAKNS hierarchy -- super Hamiltonian structure -- supertrace identity PACS codes: 02.30.Ik -- 05.45.Yv -- 11.30.Pb; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6101
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : For the orthosymplectic Lie superalgebra O S P ( 2, 2 ), we choose a set of basis matrices. A linear combination of those basis matrices presents a spatial spectral matrix. The compatible condition of the spatial part and the corresponding temporal parts of the spectral problem leads to a generalized super AKNS (GSAKNS) hierarchy. By making use of the supertrace identity, the obtained GSAKNS hierarchy can be written as the super bi‐Hamiltonian structures.