A new explicit expression for the Korteweg-De Vries hierarchy

Ivan G. Avramidi; Rainer Schimming

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A new explicit expression for the Korteweg-De Vries hierarchy

Ivan G. Avramidi·Rainer Schimming

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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 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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Ivan G. Avramidi, Rainer Schimming. 1997-10-16. A new explicit expression for the Korteweg-De Vries hierarchy. https://arxiv.org/abs/solv-int/9710009

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