Irregular isomonodromic deformations for Garnier systems and Okamoto's canonical transformations
Exactly Solvable and Integrable Systems
2007-05-23 v1 Complex Variables
Abstract
In this paper we describe the Garnier systems as isomonodromic deformation equations of a linear system with a simple pole at zero and a Poincar\'e rank two singularity at infinity. We discuss the extension of Okamoto's birational canonical transformations to the Garnier systems in more than one variable and to the Schlesinger systems.
Cite
@article{arxiv.nlin/0306020,
title = {Irregular isomonodromic deformations for Garnier systems and Okamoto's canonical transformations},
author = {M. Mazzocco},
journal= {arXiv preprint arXiv:nlin/0306020},
year = {2007}
}
Comments
17 pages