Rational solutions of the Painleve VI equation

Authors
Mazzocco, M
Citation
M. Mazzocco, Rational solutions of the Painleve VI equation, J PHYS A, 34(11), 2001, pp. 2281-2294
Citations number
31
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
11
Year of publication
2001
Pages
2281 - 2294
Database
ISI
SICI code
0305-4470(20010323)34:11<2281:RSOTPV>2.0.ZU;2-V
Abstract
In this paper, we classify all values of the parameters alpha, beta, gamma and delta of the Painleve VI equation such that there are rational solution s. We give a formula for them up to the birational canonical transformation s and the symmetries of the Painleve VI equation.