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A note on the third family of N=2 supersymmetric KdV hierarchies

François Delduc·L. Gallot
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Abstract

We propose a hamiltonian formulation of the $N=2$ supersymmetric KP type hierarchy recently studied by Krivonos and Sorin. We obtain a quadratic hamiltonian structure which allows for several reductions of the KP type hierarchy. In particular, the third family of $N=2$ KdV hierarchies is recovered. We also give an easy construction of Wronskian solutions of the KP and KdV type equations.

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François Delduc, L. Gallot. 1999-07-01. A note on the third family of N=2 supersymmetric KdV hierarchies. https://doi.org/10.2991/jnmp.1999.6.3.8

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