Volume 24, Issue 3, June 2017, Pages 368 - 378
Factorisation of recursion operators of some Lagrangian systems
Authors
Dmitry K. Demskoi
School of Computing and Mathematics, Charles Sturt University, New South Wales 2678, Australia,ddemskoy@csu.edu.au
Received 8 November 2016, Accepted 11 April 2017, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2017.1341699How to use a DOI?
- Keywords
- Recursion operator; first integral; generalised symmetry
- Abstract
We observe that recursion operator of an S-integrable hyperbolic equation that degenerates into a Liouvile-type equation admits a particular factorisation. This observation simplifies the construction of such operators. We use it to find a new quasi-local recursion operator for a triplet of scalar fields. The method is also illustrated with examples of the sinh-Gordon, the Tzitzeica and the Lund-Regge equations.
- Copyright
- © 2017 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 - Dmitry K. Demskoi PY - 2021 DA - 2021/01/06 TI - Factorisation of recursion operators of some Lagrangian systems JO - Journal of Nonlinear Mathematical Physics SP - 368 EP - 378 VL - 24 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2017.1341699 DO - 10.1080/14029251.2017.1341699 ID - Demskoi2021 ER -