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- W3103273107 abstract "In this paper we discuss the concept of cosymmetries and co--recursion operators for difference equations and present a co--recursion operator for the Viallet equation. We also discover a new type of factorisation for the recursion operators of difference equations. This factorisation enables us to give an elegant proof that the recursion operator given in arXiv:1004.5346 is indeed a recursion operator for the Viallet equation. Moreover, we show that this operator is Nijenhuis and thus generates infinitely many commuting local symmetries. This recursion operator and its factorisation into Hamiltonian and symplectic operators can be applied to Yamilov's discretisation of the Krichever-Novikov equation." @default.
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- W3103273107 date "2011-06-06" @default.
- W3103273107 modified "2023-09-24" @default.
- W3103273107 title "Cosymmetries and Nijenhuis recursion operators for difference equations" @default.
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- W3103273107 doi "https://doi.org/10.1088/0951-7715/24/7/009" @default.
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