Constrained KP Hierarchies: Darboux-Bäcklund Solutions and Additional Symmetries

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 $\t$-functions of graded $SL(m,1)$ \cKP hierarchies.

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

Cited by in corpus (2)

• An analytic description of the vector constrained KP hierarchy
• Solving bi-directional soliton equations in the KP hierarchy by gauge transformation