Irregular isomonodromic deformations for Garnier systems and Okamoto's canonical transformations

Details Irregular isomonodromic deformations for Garnier systems and Okamoto's canonical transformations Irregular isomonodromic deformations for Garnier systems and Okamoto's canonical transformations

2003-06-12

arxiv.org/abs/nlin/0306020v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages

Scientific paper

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.

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