On the Fay identity for KdV tau functions and the identity for the Wronskian of squared solutions of Sturm-Liouville equation

Yordan P. Mishev

doi:10.1063/1.532873

paper

On the Fay identity for KdV tau functions and the identity for the Wronskian of squared solutions of Sturm-Liouville equation

arXiv:math/9804077 · doi:10.1063/1.532873

Abstract

We show that the well known identity for the Wronskian of squared solutions of a Sturm-Liouville equation follows from the Fay identity. We also study some odd-order (( $2^{n} - 1$ )-order, $n = 2, 3, ...$ ) identities which are specific for tau functions, related to the KdV hierarchy.

arXiv commentAmstex, 13 pages