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Deautonomisation of differential-difference equations and discrete Painlevé equations

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

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
96 KB
Volume
11
Category
Article
ISSN
0960-0779

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✦ Synopsis

We examine a family of integrable dierential-dierence equations and obtain their non-autonomous extensions using a discrete/ continuous integrability criterion.

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✍ T. Tamizhmani; B. Grammaticos; A. Ramani; K.M. Tamizhmani 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 196 KB

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