Towards second order Lax pairs to discrete Painlev\'e equations of first degree
solv-int
2007-05-23 v2 Exactly Solvable and Integrable Systems
Abstract
We investigate the question of finding discrete Lax pairs for the six discrete Painlev\'e equations (Pn). The choice we make is to discretize the pairs of Garnier, once converted to matricial form.
Cite
@article{arxiv.solv-int/9803013,
title = {Towards second order Lax pairs to discrete Painlev\'e equations of first degree},
author = {R. Conte and M. Musette},
journal= {arXiv preprint arXiv:solv-int/9803013},
year = {2007}
}
Comments
16 pages, no figure, standard Latex, to appear in Chaos, solitons and fractals (1998). Proceedings of Integrability and chaos in discrete systems, Brussels 2--6 July 1997, eds. I. Antoniou and F. Lambert. Revision (one reference suppressed)