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

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

1998-04-16

arxiv.org/abs/math/9804077v1

Mathematics

Quantum Algebra

Amstex, 13 pages

Scientific paper

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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