A new explicit expression for the Korteweg-De Vries hierarchy
solv-int
2007-05-23 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9710009,
title = {A new explicit expression for the Korteweg-De Vries hierarchy},
author = {Ivan G. Avramidi and Rainer Schimming},
journal= {arXiv preprint arXiv:solv-int/9710009},
year = {2007}
}
Comments
17 pages, LaTeX, 37 KB, no figures