|
Regular and Chaotic Dynamics, 2004, Volume 9, Issue 1, Pages 13–20
(Mi rcd726)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
The $q$-discrete Painlevé IV equations and their properties
K. M. Tamizhmania, B. Grammaticosb, A. S. Carsteacd, A. Ramanid 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.
Received: 12.12.2003
Citation:
K. M. Tamizhmani, B. Grammaticos, A. S. Carstea, A. Ramani, “The $q$-discrete Painlevé IV equations and their properties”, Regul. Chaotic Dyn., 9:1 (2004), 13–20
Linking options:
https://www.mathnet.ru/eng/rcd726 https://www.mathnet.ru/eng/rcd/v9/i1/p13
|
Statistics & downloads: |
Abstract page: | 80 |
|