(2+1)-dimensional supersymmetric integrable equations

Abstract

By means of two different approaches, we construct the (2+1)-dimensional supersymmetric integrable equations based on the super Lie algebra osp(3/2). We relax the constraint condition of homogenous space of super Lie algebra osp(3/2) in the first approach. In another one, the technique of extending the dimension of the systems is used. Furthermore for the [Formula: see text]-dimensional supersymmetric integrable equations, we also derive their Bäcklund transformations.