A new explicit expression for the Korteweg-De Vries hierarchy

Details A new explicit expression for the Korteweg-De Vries hierarchy A new explicit expression for the Korteweg-De Vries hierarchy

1997-10-16

arxiv.org/abs/solv-int/9710009v1

Math.Nachr. 219 (2000) 45-64

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, 37 KB, no figures

Scientific paper

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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