A multicomponent generalized nonisospectral super AKNS integrable hierarchy

In the nonisospectral case, we introduce the associated spectral problem with a perturbation term. We obtain a generalized nonisospectral super AKNS hierarchy and a coupled generalized nonisospectral super AKNS hierarchy associated with generalized Lie superalgebras \(sl(2,1)\) and \(sl(4,1)\) . Based on a new type of multicomponent Lie superalgebra \(sl(2N,1)\) , a multicomponent generalized nonisospectral super AKNS hierarchy is obtained. By using the supertrace identity, the super bi-Hamiltonian structures of the resulting superintegrable hierarchies are obtained.