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Discrete version of the Chazy class III equation

Simon Labrunie·Robert Conte
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Abstract

We study the discretisation of the Chazy class III equation by two means: a discrete Painlevé test, and the preservation of a two-parameter solution to the continuous equation. We get that way a best discretisation scheme.

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Simon Labrunie, Robert Conte. 1996-08-20. Discrete version of the Chazy class III equation. https://arxiv.org/abs/solv-int/9608008

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