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Cellular automata and ultra-discrete Painlevé equations

✍ Scribed by B Grammaticos; Y Ohta; A Ramani; D Takahashi; K.M Tamizhmani


Book ID
108444731
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
551 KB
Volume
226
Category
Article
ISSN
0375-9601

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From Continuous to Discrete Painlevé Equ
✍ 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