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

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

1998-03-18

arxiv.org/abs/solv-int/9803013v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, no figure, standard Latex, to appear in Chaos, solitons and fractals (1998). Proceedings of Integrability and chaos

Scientific paper

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.

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