K. M. Tamizhmani, B. Grammaticos, A. S. Carstea, A. Ramani, “The <nobr>$q$</nobr>-discrete Painlevé IV equations and their properties”, Regul. Chaotic Dyn., 2004, Volume 9, Issue 1,Pages <nobr>13

This article is cited in 2 papers

The $q$-discrete Painlevé IV equations and their properties

K. M. Tamizhmani^a, B. Grammaticos^b, A. S. Carstea^cd, A. Ramani^d

^a Departement of Mathematics, Pondicherry University, Kalapet, Pondicherry, 605014
^b GMPIB, Université Paris VII, Tour 24-14, 5e étage, case 7021, 75251 Paris, France
^c Institute of Physics and Nuclear Engineering, Department of Theoretical Physics, Magurele, Bucharest, Romania
^d CPT, Ecole Polytechnique, CNRS, UMR 7644, 91128 Palaiseau, France

Abstract: We present a detailed study of the properties of two q-discrete Painlevé IV equations: singularity structure, bilinear forms, auto-Bäcklund/Schlesinger transformations, rational solutions as well as special solutions obtained through second- or first-order linear equations.

MSC: 34M55, 39A12, 39A13

Received: 12.12.2003

Language: English