From Agmon-Kannai expansion to Korteweg-de Vries hierarchy

Physics – Mathematical Physics

Scientific paper

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7 pages, AMS-LaTeX

Scientific paper

We present a new method for computation of the Korteweg-de Vries hierarchy
via heat invariants of the 1-dimensional Schrodinger operator. As a result new
explicit formulas for the KdV hierarchy are obtained. Our method is based on an
asymptotic expansion of resolvent kernels of elliptic operators due to S.Agmon
and Y.Kannai.

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