An Integral Operator Solution to the Matrix Toda Equations
solv-int
2008-02-03 v2 funct-an
高能物理 - 理论
泛函分析
可精确求解与可积系统
摘要
In previous work the author found solutions to the Toda equations that were expressed in terms of determinants of integral operators. Here it is observed that a simple variant yields solutions to the matrix Toda equations. As an application another derivation is given of a differential equation of Sato, Miwa and Jimbo for a particular Fredholm determinant.
关键词
引用
@article{arxiv.solv-int/9702007,
title = {An Integral Operator Solution to the Matrix Toda Equations},
author = {Harold Widom},
journal= {arXiv preprint arXiv:solv-int/9702007},
year = {2008}
}
备注
8 pages, LaTeX file. An argument improved