On integrability of discrete variational systems. Octahedron relations
Exactly Solvable and Integrable Systems
2016-03-08 v1 Mathematical Physics
math.MP
Abstract
We elucidate consistency of the so-called corner equations which are elementary building blocks of Euler-Lagrange equations for two-dimensional pluri-Lagrangian problems. We show that their consistency can be derived from the existence of two independent octahedron relations. We give explicit formulas for octahedron relations in terms of corner equations.
Keywords
Cite
@article{arxiv.1406.0741,
title = {On integrability of discrete variational systems. Octahedron relations},
author = {Raphael Boll and Matteo Petrera and Yuri B. Suris},
journal= {arXiv preprint arXiv:1406.0741},
year = {2016}
}
Comments
18 pp