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Properties of Supersymmetric Integrable Systems of KP Type

Emil Nissimov·Svetlana Pacheva
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Abstract

The recently proposed supersymmetric extensions of reduced Kadomtsev-Petviashvili (KP) integrable hierarchies in $N =1,2$ superspace are shown to contain in the purely bosonic limit new types of ordinary non-supersymmetric integrable systems. The latter are coupled systems of several multi-component non-linear Schr{ö}dinger-like hierarchies whose basic nonlinear evolution equations contain additional quintic and higher-derivative nonlinear terms. Also, we obtain the N=2 supersymmetric extension of Toda chain model as Darboux-B{ä}cklund orbit of the simplest reduced N=2 super-KP hierarchy and find its explicit solution.

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Emil Nissimov, Svetlana Pacheva. 2001-08-17. Properties of Supersymmetric Integrable Systems of KP Type. https://doi.org/10.1140/epjb%2Fe2002-00285-7

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