On Grassmannian Description of the Constrained KP Hierarchy

Abstract

This note develops an explicit construction of the constrained KP hierarchy within the Sato Grassmannian framework. Useful relations are established between the kernel elements of the underlying ordinary differential operator and the eigenfunctions of the associated KP hierarchy as well as between the related bilinear concomitant and the squared eigenfunction potential.

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References in corpus (5)

• Constrained KP Hierarchies: Additional Symmetries, Darboux-Bäcklund Solutions and Relations to Multi-Matrix Models
• Method of Squared Eigenfunction Potentials in Integrable Hierarchies of KP Type
• An analytic description of the vector constrained KP hierarchy
• The vector k-constrained KP hierarchy and Sato's Grassmannian
• Geometric Bäcklund--Darboux transformations for the KP hierarchy

Cited by in corpus (4)

• q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy
• Integrable Hierarchy for Multidimensional Toda Equations and Topological-Anti-topological Fusion
• The complex Sine-Gordon equation as a symmetry flow of the AKNS Hierarchy
• Symmetries of Supersymmetric Integrable Hierarchies of KP Type