✦ LIBER ✦

Discrete versions of the Painlevé equations

✍ Scribed by Ramani, A.; Grammaticos, B.; Hietarinta, J.

Book ID: 126459404
Publisher: The American Physical Society
Year: 1991
Tongue: English
Weight: 167 KB
Volume: 67
Category: Article
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.67.1829

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📜 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

Discrete Painlevé equations with maximal

Discrete Painlevé equations with maximal periodicities

✍ Ramani, A; Grammaticos, B 📂 Article 📅 2014 🏛 IOP Publishing 🌐 English ⚖ 195 KB

Discrete Painlevé equations: an integrab

Discrete Painlevé equations: an integrability paradigm

✍ Grammaticos, B; Ramani, A 📂 Article 📅 2014 🏛 Royal Swedish Academy of Sciences 🌐 English ⚖ 356 KB

Special function solutions of the discre

Special function solutions of the discrete painlevé equations

✍ A. Ramani; B. Grammaticos; T. Tamizhmani; K.M. Tamizhmani 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 545 KB

On Discrete Painlevé Equations Associate

On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation

✍ F. W. Nijhoff; A. Ramani; B. Grammaticos; Y. Ohta 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 464 KB

Deautonomisation of differential-differe

Deautonomisation of differential-difference equations and discrete Painlevé equations

✍ B. Grammaticos; A. Ramani; K.M. Tamizhmani 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 96 KB

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