Properties of Supersymmetric Integrable Systems of KP Type

Details Properties of Supersymmetric Integrable Systems of KP Type Properties of Supersymmetric Integrable Systems of KP Type

2001-08-13

arxiv.org/abs/nlin/0108021v2

EuroPhysics Journal B29 (2002) 197

Nonlinear Sciences

Exactly Solvable and Integrable Systems

EPJ LaTeX Style, 4 pages, minor typos corrected and references added Talk at "Geometry, Integrability and Nonlinearity in Cond

Scientific paper

10.1140/epjb/e2002-00285-7

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{\"o}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{\"a}cklund orbit of the simplest reduced N=2 super-KP hierarchy and find its explicit solution.

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