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Amalgamations of the Painlevé Equations

✍ Scribed by N. A. Kudryashov


Book ID
111612787
Publisher
SP MAIK Nauka/Interperiodica
Year
2003
Tongue
English
Weight
168 KB
Volume
137
Category
Article
ISSN
0040-5779

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The ultimate discretisation of the Painl
✍ A. Ramani; D. Takahashi; B. Grammaticos; Y. Ohta 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 610 KB

We present a systematic way to construct ultra-discrete versions of the Painlev6 equations starting from know discrete forms. These ultra-discrete equations are generalised cellular automata in the sense that the dependent variable takes only integer values. The ultra-discrete Painlev6 equations hav