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Rules of discretization for Painlev\'e equations - MaRDI portal

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Rules of discretization for Painlev\'e equations

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Publication:6511275

arXivsolv-int/9803014MaRDI QIDQ6511275

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Abstract: The discrete Painlev'e property is precisely defined, and basic discretization rules to preserve it are stated. The discrete Painlev'e test is enriched with a new method which perturbs the continuum limit and generates infinitely many no-log conditions. A general, direct method is provided to search for discrete Lax pairs.












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