An Integral Operator Solution to the Matrix Toda Equations

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.

8 pages, LaTeX file. An argument improved

References in corpus (2)

• Differential Equations for Sine-Gordon Correlation Functions at the Free Fermion Point
• Some Classes of Solutions to the Toda Lattice Hierarchy