Algebraic solutions of the multicomponent KP hierarchy

[摘要] It is shown that it is possible to write down tan 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. (C) 2000 Elsevier Science B.V. All rights reserved. MSG: 35Q53; 14D20; 58F07. Subj. class: Differential geometry.

[发布日期] 2000-11-01

[关键词] KP hierarchy;non-abelian theta functions;infinite Grassmannian;moduli spaces