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

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For the orthosymplectic Lie superalgebra OSP(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… Click to show full abstract

For the orthosymplectic Lie superalgebra OSP(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.

Keywords: superalgebra osp; super akns; generalized super; lie superalgebra; hierarchy; orthosymplectic lie

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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