Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies
arXiv:nlin/0204063 · doi:10.1016/S0375-9601(02)01087-3
Abstract
We present a systematic procedure for obtaining the dispersionless limit of a class of N=1 supersymmetric systems starting from the Lax description of their dispersive counterparts. This is achieved by starting with an N=2 supersymmetric system and scaling the fields in an alternative manner so as to maintain N=1 supersymmetry. We illustrate our method by working out explicitly the examples of the dispersionless supersymmetric two boson hierarchy and the dispersionless supersymmetric Boussinesq hierarchy.
10 pages