Algebraic Solutions of the Multicomponent KP Hierarchy

Abstract

It is shown that it is possible to write down tau functions for the $n$-component KP hierarchy in terms of non-abelian theta functions. This is a generalization of the rank 1 situation; that is, the relation of theta functions of Jacobians and tau functions for the KP hierarchy.

19 pages

References in corpus (2)

• Automorphism Group of $k((t))$: Applications to the Bosonic String
• Geometric Bäcklund--Darboux transformations for the KP hierarchy

Cited by in corpus (6)

• D-Bundles and Integrable Hierarchies
• From solitons to many-body systems
• W-Symmetry of the Adelic Grassmannian
• Generalized KP Hierarchy for Several Variables
• Equations of Hurwitz Schemes in the Infinite Grassmannian
• Addition Formulae for Non-Abelian Theta Functions and Applications