A new recursion operator for the Viallet equation

2011/05/06 by Alexander V. Mikhailov, Jing Ping Wang
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1016/j.physleta.2011.09.018

published as Physics Letters A 375: 3960--3963, 2011

arxiv created 2011/05/06 · arxiv updated 2015/05/28

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.

Citations

• Recursion operators, conservation laws and integrability conditions for difference equations