Constrained KP Hierarchies: Darboux-Bäcklund Solutions and Additional Symmetries

Details Constrained KP Hierarchies: Darboux-Bäcklund Solutions and Additional Symmetries Constrained KP Hierarchies: Darboux-Bäcklund Solutions and Additional Symmetries

1995-12-28

arxiv.org/abs/solv-int/9512008v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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