Constructing the soliton solutions for the N=1 supersymmetric KdV hierarchy

We construct the soliton solutions for N = 1 supersymmetric KdV equations. Our starting point is the bilinear transcription of the latter using the su per-bilinear operators. We show explicitly the form of the two- and three-s oliton solution and give the procedure for constructing the higher ones. Th e main difference of those solitons with the classical case is that their f ermionic part becomes dressed through the interaction. Our approach allows us to compute this dressing in an explicit way.