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arXiv · hep-th/9301080

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

P. Dargis·P. Mathieu
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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.

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P. Dargis, P. Mathieu. 1993-01-19. Nonlocal conservation laws in N=1,2 Supersymetric KdV equation. https://doi.org/10.1016/0375-9601(93)90318-t

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