An analytic description of the vector constrained KP hierarchy

Abstract

In this paper we give a geometric description in terms of the Grassmann manifold of Segal and Wilson, of the reduction of the KP hierarchy known as the vector $k$-constrained KP hierarchy. We also show in a geometric way that these hierarchies are equivalent to Krichever's general rational reductions of the KP hierarchy.

15 pages, Latex2e

References in corpus (2)

• The vector k-constrained KP hierarchy and Sato's Grassmannian
• On a generalization of the Fay-Sato identity for KP Baker functions and its application to constrained hierarchies

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• The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI