✦ LIBER ✦

Special function solutions of the discrete painlevé equations

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

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 545 KB
Volume: 42
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(01)00180-8

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Linearization and solutions of the discr

Linearization and solutions of the discrete Painlevé III equation

✍ B. Grammaticos; F.W. Nijhoff; V. Papageorgiou; A. Ramani; J. Satsuma 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 333 KB

New exact solutions of the discrete four

New exact solutions of the discrete fourth Painleve´equation

✍ Andrew P. Bassom; Peter A. Clarkson 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 638 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.

Schlesinger transforms for the discrete

Schlesinger transforms for the discrete painlevé IV equation

✍ K. M. Tamizhmani; B. Grammaticos; A. Ramani 📂 Article 📅 1993 🏛 Springer 🌐 English ⚖ 301 KB

Painlevé analysis and special solutions

Painlevé analysis and special solutions of two families of reaction—diffusion equations

✍ S.Roy Choudhury 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 527 KB

Alternate discrete Painlevé equations fr

Alternate discrete Painlevé equations from limits of and

✍ 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