Volume 23, Issue 4, September 2016, Pages 507 - 543
Algebraic entropy, symmetries and linearization of quad equations consistent on the cube
Received 26 March 2016, Accepted 8 August 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2016.1237200How to use a DOI?
- Abstract
We discuss the non–autonomous nonlinear partial difference equations belonging to Boll classification of quad graph equations consistent around the cube. We show how starting from the compatible equations on a cell we can construct the lattice equations, its Bäcklund transformations and Lax pairs. By carrying out the algebraic entropy calculations we show that the H4 trapezoidal and the H6 families are linearizable and in a few examples we show how we can effectively linearize them.
- Copyright
- © 2016 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 - G. Gubbiotti AU - C. Scimiterna AU - D. Levi PY - 2021 DA - 2021/01/06 TI - Algebraic entropy, symmetries and linearization of quad equations consistent on the cube JO - Journal of Nonlinear Mathematical Physics SP - 507 EP - 543 VL - 23 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1237200 DO - 10.1080/14029251.2016.1237200 ID - Gubbiotti2021 ER -