Discrete Painlevé equations: coalescences, limits and degeneracies
✍ Scribed by A. Ramani; B. Grammaticos
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 710 KB
- Volume
- 228
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 a
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