Toda equation and special polynomials associated with the Garnier system
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We prove that a certain sequence of tau functions of the Garnier system satisfies Toda equation. We construct a class of algebraic solutions of the system by the use of Toda equation; then show that the associated tau functions are expressed in terms of the universal character, which is a generalization of Schur polynomial attached to a pair of partitions.
Keywords
Cite
@article{arxiv.nlin/0408060,
title = {Toda equation and special polynomials associated with the Garnier system},
author = {Teruhisa Tsuda},
journal= {arXiv preprint arXiv:nlin/0408060},
year = {2007}
}
Comments
26 pages