English

Properties of Supersymmetric Integrable Systems of KP Type

Exactly Solvable and Integrable Systems 2009-11-07 v2 High Energy Physics - Theory

Abstract

The recently proposed supersymmetric extensions of reduced Kadomtsev-Petviashvili (KP) integrable hierarchies in N=1,2N =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.

Keywords

Cite

@article{arxiv.nlin/0108021,
  title  = {Properties of Supersymmetric Integrable Systems of KP Type},
  author = {Emil Nissimov and Svetlana Pacheva},
  journal= {arXiv preprint arXiv:nlin/0108021},
  year   = {2009}
}

Comments

EPJ LaTeX Style, 4 pages, minor typos corrected and references added Talk at "Geometry, Integrability and Nonlinearity in Condensed Matter and Soft Condensed Matter Physics", July 2001, Bansko (Bulgaria)