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Alternate discrete Painlevé equations from limits of and

✍ Scribed by T. Tamizhmani; B. Grammaticos; A. Ramani; K.M. Tamizhmani

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
196 KB
Volume
369
Category
Article
ISSN
0378-4371

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✦ Synopsis

We study the special limits of discrete Painleve´equations belonging to the qÀP VI and dÀP V families, when the independent variable goes to 1 or 0, respectively. We obtain discrete systems which are shown to be either contiguities of solutions of continuous Painleve´equations, usually of P VI but also of the other Painleve´equations (except P I , which has no parameters and so no possibility of contiguity), or linearisable mappings.

📜 SIMILAR VOLUMES

From Continuous to Discrete Painlevé Equ
From Continuous to Discrete Painlevé Equations
✍ A.S. Fokas; B. Grammaticos; A. Ramani 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 630 KB

Discrete analogues of the Painleve equations have recently been derived using either a method based on orthogonal polynomials or the singularity confinement method. Here we analyze additional methods for deriving integrable nonautonomous discrete equations. These methods are based on the discrete AK