Supersymmetric generalized non-linear sigma-models. An infinite set of non-local conserved currents and instantonlike solutions

The method of deriving of classical non-local conserved currents is applied to supersymmetric generalized non-linear sigma-models. By this approach an infinite set of conserved currents for the above kind of sigma-models in two dimensional space-time is found. The parametrization given by MacFarlane is used for the independent components of the superfield. This method leads to a recurrent formula for the supercurrents and each of them can be computed. In particular, the explicite form of the second non-local conserved supercurrent is given. In the case of the fields defined on the Grassmannian manifolds with the MacFarlane parametrization instantonlike solutions are found as well