The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli Hierarchy

Abstract

We describe three different approaches to the extended (N=2) supersymmetrization of the multicomponent KP hierarchy. In the first one we utilize only superfermions while in the second only superbosons and in the third superbosons as well as superfermions. It is shown that many soliton equations can be embedded in the supersymmetry theory by using the first approach even if we do not change these equations in the bosonic limit of the supersymmetry. In the second or third approach we obtain a generalization of the soliton equations in the bosonic limit which remains in the class of the usual commuting functions. As the byproduct of our analysis we prove that for the first procedure the bosonic part of the one--component supersym\-me\-tric KP hierarchy coincides with the usual classical two--component KP hierarchy.

18 pages

References in corpus (2)

• THE MINIMAL N=2 SUPEREXTENSION OF THE NLS EQUATION
• On the Super-NLS Equation and its Relation with N=2 Super-KdV within Coset Approach

Cited by in corpus (21)

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