Abstract
Based on a class of extended Lie superalgebras that we constructed, we present a method for generating 2＋1 dimensional nonisospectral super integrable hierarchies. By considering some applications, we derive three kinds of 2＋1 dimensional nonisospectral super Dirac integrable hierarchies and AKNS integrable hierarchies. Moreover, super Hamiltonian structures of these 2＋1 dimensional super integrable hierarchies are obtained.
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