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A New Explicit Expression for the Korteweg – De Vries Hierarchy

✍ Scribed by Ivan Avramidi; Rainer Schimming

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
222 KB
Volume
219
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 Schrödinger operator.

Our method of "matrix elements" produces, moreover, an explicit expression for the powers of a Schrödinger-like differential operator of any order.

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