Journal of Nonlinear Mathematical Physics

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/).

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
24 - 3
Pages
368 - 378
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2017.1341699How to use a DOI?
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  -