Journal of Nonlinear Mathematical Physics

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Volume 20, Issue 2, May 2013, Pages 260 - 270

From Yang-Baxter Maps to Integrable Recurrences

Authors
B. Grammaticos, A. Ramani, C.-M. Viallet
IMNC, Université Paris VII & XI, CNRS, UMR 8165, Bât. 440, 91406 Orsay, France
Centre de Physique Théorique, École Polytechnique, CNRS, 91128 Palaiseau, France
LPTHE, Université Pierre-et-Marie-Curie, CNRS UMR 7589, 4 place Jussieu, 75252 Paris cedex 05, France
Received 29 November 2012, Accepted 30 May 2013, Available Online 6 January 2021.
DOI
10.1080/14029251.2013.813105How to use a DOI?
Keywords
02.30.Ik; 05.45.Yv
Abstract

Starting from known solutions of the functional Yang-Baxter equations, we construct a series of nonautonomous integrable recurrences, “median graphs”, and give their explicit solution.

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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
20 - 2
Pages
260 - 270
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2013.813105How to use a DOI?
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

risenwbib
TY  - JOUR
AU  - B. Grammaticos
AU  - A. Ramani
AU  - C.-M. Viallet
PY  - 2021
DA  - 2021/01/06
TI  - From Yang-Baxter Maps to Integrable Recurrences
JO  - Journal of Nonlinear Mathematical Physics
SP  - 260
EP  - 270
VL  - 20
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.813105
DO  - 10.1080/14029251.2013.813105
ID  - Grammaticos2021
ER  -