A new recursion operator for the Viallet equation
arXiv:1105.1269 · doi:10.1016/j.physleta.2011.09.018
Abstract
We present a new recursion and Hamiltonian operators for the Viallet equation. This new recursion operator and the recursion operator found in [Theoretical and Mathematical Physics, 167:421--443 (2011), arXiv:1004.5346] satisfy the elliptic curve equation associated with the Viallet equation.
References in corpus (4)
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Cited by in corpus (5)
- Darboux transformations and Recursion operators for differential--difference equations
- Second order integrability conditions for difference equations. An integrable equation
- On the algebraic structure of rational discrete dynamical systems
- On the recursion operators for integrable equations
- Algebraic entropy for semi-discrete equations