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A New explicit expression for the Korteweg-De Vries hierarchy

Authors
  • Avramidi, Ivan G.
  • Schimming, Rainer
Publication Date
Oct 01, 1997
Source
INSPIRE-HEP
Keywords
License
Unknown
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Abstract

We derive an improved fully explicit expression for the right-hand sides of the matrix KdV hierarchy using the relation to the heat kernel of the one-dimensional Schr\"odinger operator. Our method of "matrix elements" produces, moreover, an explicit expression for the powers of a Schr\"odinger-like differential operator of any order.

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