A new recursion operator for the Viallet equation
Alexander V. Mikhailov, Jing Ping Wang
TL;DR
This paper introduces a novel recursion operator for the Viallet equation, expanding the mathematical tools available for analyzing its integrability and related structures.
Contribution
It presents a new recursion and Hamiltonian operators that satisfy the elliptic curve equation linked to the Viallet equation, building on previous work.
Findings
New recursion operator for the Viallet equation
Operators satisfy the elliptic curve equation
Enhances understanding of the equation's integrability
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.