Discrete systems related to some equations of the Painlev\'e-Gambier classification
Exactly Solvable and Integrable Systems
2009-11-07 v1
Abstract
We derive integrable discrete systems which are contiguity relations of two equations in the Painlev\'e-Gambier classification depending on some parameter. These studies extend earlier work where the contiguity relations for the six transcendental Painlev\'e equations were obtained. In the case of the Gambier equation we give the contiguity relations for both the continuous and the discrete system.
Keywords
Cite
@article{arxiv.nlin/0104019,
title = {Discrete systems related to some equations of the Painlev\'e-Gambier classification},
author = {S. Lafortune and B. Grammaticos and A. Ramani and P. Winternitz},
journal= {arXiv preprint arXiv:nlin/0104019},
year = {2009}
}
Comments
10 pages