Multivariate hypergeometric functions as τ-functions of Toda lattice and Kadomtsev-Petviashvili equation

PHYSICA D-NONLINEAR PHENOMENA

卷:152

Article

Orlov, AY ; Scherbin, DM

关键词: hypergeometric function;    Toda lattice;    Schur polynomial;    discrete;   

DOI  :  10.1016/S0167-2789(01)00158-0

来源: Elsevier

【 摘 要 】

We present the q-deformed multivariate hypergeometric functions related to Schur polynomials as tau -functions of the KP and of the two-dimensional Toda lattice hierarchies. The variables of the hypergeometric functions are the higher times of those hierarchies. The discrete Toda lattice variable shifts parameters of hypergeometric functions. The role of additional symmetries in generating hypergeometric tau -functions is explained. (C) 2001 Elsevier Science B.V. All rights reserved.

【 授权许可】

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