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

Abstract

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

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