Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1998-03-18
Nonlinear Sciences
Exactly Solvable and Integrable Systems
21 pages, no figure, standard Latex, to appear in Theory of nonlinear special functions : the Painlev\'e transcendents, eds. L
Scientific paper
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.
Conte Robert
Musette Micheline
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