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Constrained KP Hierarchies: Darboux-Bäcklund Solutions and Additional Symmetries

H. Aratyn·E. Nissimov·S. Pacheva
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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.

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H. Aratyn, E. Nissimov, S. Pacheva. 1995-12-28. Constrained KP Hierarchies: Darboux-Bäcklund Solutions and Additional Symmetries. https://arxiv.org/abs/solv-int/9512008

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