Rules of discretization for Painlevé equations
Abstract
Description
The discrete Painlevé property is precisely defined, and basic discretization rules to preserve it are stated. The discrete Painlevé 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.
21 pages, no figure, standard Latex, to appear in Theory of nonlinear special functions : the Painlevé transcendents, eds. L. Vinet and P. Winternitz (Springer, Berlin, 1998). Proceedings of Montreal, 13--17 May 1996
21 pages, no figure, standard Latex, to appear in Theory of nonlinear special functions : the Painlevé transcendents, eds. L. Vinet and P. Winternitz (Springer, Berlin, 1998). Proceedings of Montreal, 13--17 May 1996