English

Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies

Exactly Solvable and Integrable Systems 2009-11-07 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.nlin/0204063,
  title  = {Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies},
  author = {Ashok Das and Sergey Krivonos and Ziemowit Popowicz},
  journal= {arXiv preprint arXiv:nlin/0204063},
  year   = {2009}
}

Comments

10 pages