The algebraic approach is employed to formulate N=2 supersymmetry
transformations in the context of integrable systems based on loop
superalgebras sl^(p+1,p),p≥1 with homogeneous gradation. We
work with extended integrable hierarchies, which contain supersymmetric AKNS
and Lund-Regge sectors.
We derive the one-soliton solution for p=1 which solves positive and
negative evolution equations of the N=2 supersymmetric model.Comment: Latex, 21 page