On the Fay identity for KdV tau functions and the identity for the Wronskian of squared solutions of Sturm-Liouville equation
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 ((2n -1)-order, n = 2, 3, ...) identities which are specific for tau functions, related to the KdV hierarchy.
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