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

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Cited by in corpus (7)

• Nonlinear PDEs for gap probabilities in random matrices and KP theory
• Solutions of the WDVV Equations and Integrable Hierarchies of KP type
• The vector k-constrained KP hierarchy and Sato's Grassmannian
• Block Toeplitz determinants, constrained KP and Gelfand-Dickey hierarchies
• On Grassmannian Description of the Constrained KP Hierarchy
• Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
• The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI