English

Constrained KP Hierarchies: Darboux-B\"acklund Solutions and Additional Symmetries

solv-int 2008-02-03 v1 High Energy Physics - Theory Exactly Solvable and Integrable Systems

Abstract

We illustrate the basic notions of {\em additional non-isospectral symmetries} and their interplay with the discrete {\em \DB transformations} of integrable systems at the instance of {\em constrained Kadomtsev-Petviashvili} (\cKP) integrable hierarchies. As a main application we present the solution of discrete multi-matrix string models in terms of Wronskian \t\t-functions of graded SL(m,1)SL(m,1) \cKP hierarchies.

Keywords

Cite

@article{arxiv.solv-int/9512008,
  title  = {Constrained KP Hierarchies: Darboux-B\"acklund Solutions and Additional Symmetries},
  author = {H. Aratyn and E. Nissimov and S. Pacheva},
  journal= {arXiv preprint arXiv:solv-int/9512008},
  year   = {2008}
}

Comments

LaTeX, 15 pgs, To be published in Proceedings of the second Summer Workshop, Razlog/Bulgaria, Aug-Sept 1995