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Towards second order Lax pairs to discrete Painlevé equations of first degree

1998/03/18 by R. Conte, Conte, R., M. Musette +1
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9803013

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)

arxiv created 1998/05/22 · arxiv updated 2009/11/30

Abstract

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.

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