Nonlocal conservation laws in N=1,2 Supersymetric KdV equation
arXiv:hep-th/9301080 · doi:10.1016/0375-9601(93)90318-T
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.
12pages harvmac, LAVAL-PHY-21/93