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

Yordan P. Mishev
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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.

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BibTeXRIS

Yordan P. Mishev. 1998-04-16. On the Fay identity for KdV tau functions and the identity for the Wronskian of squared solutions of Sturm-Liouville equation. https://doi.org/10.1063/1.532873

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