Algebraic Solutions of the Multicomponent KP Hierarchy

Mathematics – Algebraic Geometry

Scientific paper

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19 pages

Scientific paper

10.1016/S0393-0440(99)00068-6

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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