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

R. Conte·M. Musette
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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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R. Conte, M. Musette. 1998-05-22. Towards second order Lax pairs to discrete Painlevé equations of first degree. https://arxiv.org/abs/solv-int/9803013

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