Contiguity relations for linearisable systems of Gambier type
Permanent address: Satyendranath Nath Bose National Centre for Basic Sciences, JD Block, Sector III, Kolkata - 700098, India.
- 10.1080/14029251.2013.868269How to use a DOI?
- contiguity relations; linearisability; Gambier equation
We introduce the Schlesinger transformations for the Gambier, linearisable, equation and by combining the former construct the contiguity relations of the solutions of the latter. We extend the approach to the discrete domain obtaining thus the Schlesinger transformations and the contiguity relations of the solutions of the Gambier mapping. In all cases the resulting contiguity relation is a linearisable equation, involving free functions, and which can be related to the generic Gambier mapping.
- © 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 AU - P. Guha PY - 2021 DA - 2021/01/06 TI - Contiguity relations for linearisable systems of Gambier type JO - Journal of Nonlinear Mathematical Physics SP - 565 EP - 576 VL - 20 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.868269 DO - 10.1080/14029251.2013.868269 ID - Ramani2021 ER -