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

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.

Cited by in corpus (2)

• N=2 local and N=4 nonlocal reductions of supersymmetric KP hierarchy in N=2 superspace
• Lax pair formulation of the N=4 Toda chain (KdV) hierarchy in N=4 superspace