A new method to test discrete Painlevé equations

Details A new method to test discrete Painlevé equations A new method to test discrete Painlevé equations

1996-10-09

arxiv.org/abs/solv-int/9610007v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, no figure, standard Latex, to appear in Physics Letters A

Scientific paper

10.1016/S0375-9601(96)00783-9

Necessary discretization rules to preserve the Painlev\'e property are
stated. A new method is added to the discrete Painlev\'e test, which perturbs
the continuous limit and generates infinitely many no-log conditions.

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