English

Nonlocal conservation laws in N=1,2 Supersymetric KdV equation

High Energy Physics - Theory 2011-07-19 v1

Abstract

The \nl \cls for the N=1 supersymmetric KdV equation are shown to be related in a simple way to powers of the fourth root of its Lax operator. This provides a direct link between the supersymmetry invariance and the existence of \nl conservation laws. It is also shown that nonlocal conservation laws exist for the two integrable N=2 supersymmetric KdV equations whose recursion operator is known.

Keywords

Cite

@article{arxiv.hep-th/9301080,
  title  = {Nonlocal conservation laws in N=1,2 Supersymetric KdV equation},
  author = {P. Dargis and P. Mathieu},
  journal= {arXiv preprint arXiv:hep-th/9301080},
  year   = {2011}
}

Comments

12pages harvmac, LAVAL-PHY-21/93