Factorisation of recursion operators of some Lagrangian systems

Dmitry K. Demskoi

doi:10.1080/14029251.2017.1341699

Factorisation of recursion operators of some Lagrangian systems

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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.

Original language	English
Pages (from-to)	368-378
Number of pages	11
Journal	Journal of Nonlinear Mathematical Physics
Volume	24
Issue number	3
DOIs	https://doi.org/10.1080/14029251.2017.1341699
Publication status	Published - 03 Jul 2017

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10.1080/14029251.2017.1341699

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Factorisation of recursion operators of some Lagrangian systems

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