Towards second order Lax pairs to discrete Painlevé equations of first degree
Abstract
Description
We investigate the question of finding discrete Lax pairs for the six discrete Painlevé equations (Pn). The choice we make is to discretize the pairs of Garnier, once converted to matricial form.
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)
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)