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Algebraic Solutions of the Multicomponent KP Hierarchy

F. J. Plaza Martín
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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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F. J. Plaza Martín. 1999-07-12. Algebraic Solutions of the Multicomponent KP Hierarchy. https://doi.org/10.1016/s0393-0440(99)00068-6

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