Abstract
By constructing a new type of multi-component Lie superalgebra sl(2N,1), a method of generation of multi-component super integrable hierarchies is proposed. We discuss two applications and then obtain a coupled generalized super integrable Ablowitz–Kaup–Newell–Segur (AKNS) hierarchy and a multi-component generalized super integrable AKNS hierarchy respectively. Then, the super Hamiltonian structures of the resulting super integrable hierarchies are deduced by means of supertrace identity.
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