Volume 20, Issue Supplement 1, November 2013, Pages 153 - 164
A new family of discrete Painlevé equations and associated linearisable systems
Authors
A. Ramani
Centre de Physique Théorique, Ecole Polytechnique, CNRS 91128 Palaiseau, France,ramani@cpht.polytechnique.fr
B. Grammaticos
IMNC, Université Paris VII & XI, CNRS, UMR 8165, Bât. 440 91406 Orsay, France,grammaticos@imnc.in2p3.fr
Received 27 February 2012, Accepted 1 June 2012, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.862444How to use a DOI?
- Keywords
- Integrability; Painlevé equations; discretisation; linearisability; deautonomisation
- Abstract
We derive discrete systems which result from a second, not studied up to now, form of the q-PVI equation. The derivation is based on two different procedures: “limits” and “degeneracies”. We obtain several new discrete Painlevé equations along with some linearisable systems. The parallel between the results for the standard form of q-PVI and those of the new one is also established.
- Copyright
- © 2013 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - A. Ramani AU - B. Grammaticos PY - 2021 DA - 2021/01/06 TI - A new family of discrete Painlevé equations and associated linearisable systems JO - Journal of Nonlinear Mathematical Physics SP - 153 EP - 164 VL - 20 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.862444 DO - 10.1080/14029251.2013.862444 ID - Ramani2021 ER -