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

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

1999-01-27

arxiv.org/abs/solv-int/9901011v2

J. Nonlinear Math. Phys. 6 (1999), no. 3, 332-343

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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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