An Explicit Characterization of Calogero--Moser Systems
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
Combining theorems of Halphen, Floquet, and Picard and a Frobenius type analysis, we characterize rational, meromorphic simply periodic, and elliptic KdV potentials. In particular, we explicitly describe the proper extension of the Calogero--Moser locus associated with these three classes of algebro-geometric solutions of the KdV hierarchy with special emphasis on the case of multiple collisions between the poles of solutions.
Keywords
Cite
@article{arxiv.nlin/0305057,
title = {An Explicit Characterization of Calogero--Moser Systems},
author = {Fritz Gesztesy and Karl Unterkofler and Rudi Weikard},
journal= {arXiv preprint arXiv:nlin/0305057},
year = {2007}
}
Comments
LaTeX, 52 pages