An Integral Operator Solution to the Matrix Toda Equations
solv-int
2008-02-03 v2 funct-an
High Energy Physics - Theory
Functional Analysis
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@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}
}
Comments
8 pages, LaTeX file. An argument improved