A new recursion operator for the Viallet equation

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

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.

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