Rational Solutions of the Painleve' VI Equation
Exactly Solvable and Integrable Systems
2009-10-31 v2 Classical Analysis and ODEs
Abstract
In this paper, we classify all values of the parameters , , and of the Painlev\'e VI equation such that there are rational solutions. We give a formula for them up to the birational canonical transformations and the symmetries of the Painlev\'e VI equation.
Keywords
Cite
@article{arxiv.nlin/0007036,
title = {Rational Solutions of the Painleve' VI Equation},
author = {M. Mazzocco},
journal= {arXiv preprint arXiv:nlin/0007036},
year = {2009}
}
Comments
13 pages, 1 Postscript figure Typos fixed