61 citations · 332 across the 19 of their papers we have counts for
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Cosymmetries and Nijenhuis recursion operators for difference equations
Alexander V. Mikhailov, Jing Ping Wang, Pavlos Xenitidis
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 dis…
On the Lagrangian formulation of multidimensionally consistent systems
Pavlos Xenitidis, Frank Nijhoff, Sarah Lobb
Multidimensional consistency has emerged as a key integrability property for partial difference equations (PEs) defined on the "space-time" lattice. It has led, among other majo…
Recursion operators, conservation laws and integrability conditions for difference equations
Alexander V. Mikhailov, Jing Ping Wang, Pavlos Xenitidis
In this paper we make an attempt to give a consistent background and definitions suitable for the theory of integrable difference equations. We adapt a concept of recursion operato…