An Integral Operator Solution to the Matrix Toda Equations

Harold Widom

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An Integral Operator Solution to the Matrix Toda Equations

Harold Widom

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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.

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solv-int funct-an hep-th math.FA nlin.SI

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Harold Widom. 1997-05-06. An Integral Operator Solution to the Matrix Toda Equations. https://arxiv.org/abs/solv-int/9702007

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