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Algebraic Solutions of the Multicomponent KP Hierarchy

F. J. Plaza Martín

math.AGarXiv:math/9907069

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.

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