From Agmon-Kannai expansion to Korteweg-de Vries hierarchy
solv-int
2007-05-23 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present a new method for computation of the Korteweg-de Vries hierarchy via heat invariants of the 1-dimensional Schrodinger operator. As a result new explicit formulas for the KdV hierarchy are obtained. Our method is based on an asymptotic expansion of resolvent kernels of elliptic operators due to S.Agmon and Y.Kannai.
Keywords
Cite
@article{arxiv.solv-int/9905001,
title = {From Agmon-Kannai expansion to Korteweg-de Vries hierarchy},
author = {Iosif Polterovich},
journal= {arXiv preprint arXiv:solv-int/9905001},
year = {2007}
}
Comments
7 pages, AMS-LaTeX