Factorisation of recursion operators of some Lagrangian systems

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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 languageEnglish
Pages (from-to)368-378
Number of pages11
JournalJournal of Nonlinear Mathematical Physics
Issue number3
Publication statusPublished - 03 Jul 2017


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