A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy. (English) Zbl 0607.35075

The authors give an extension of the KP equation in a supersymmetric context. The usual program for completely integrable p.d.e’s is followed and solved: conservation laws, variational formalism, Gelfand-Dikii theory, involutivity. The paper is not self-contained; good references on supermanifolds and on KP are useful when reading this work. Such relevant papers are given in the references.
Reviewer: T.Ratiu


35Q58 Other completely integrable PDE (MSC2000)
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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