On non-multiaffine consistent-around-the-cube lattice equations
Exactly Solvable and Integrable Systems
2015-05-28 v2 Mathematical Physics
math.MP
Abstract
We show that integrable involutive maps, due to the fact they admit three integrals in separated form, can give rise to equations, which are consistent around the cube and which are not in the multiaffine form assumed in papers [1, 2]. Lattice models, which are discussed here, are related to the lattice potential KdV equation by nonlocal transformations (discrete quadratures).
Cite
@article{arxiv.1106.0435,
title = {On non-multiaffine consistent-around-the-cube lattice equations},
author = {Pavlos Kassotakis and Maciej Nieszporski},
journal= {arXiv preprint arXiv:1106.0435},
year = {2015}
}
Comments
Isaac Newton Institute for Mathematical Sciences Preprint No NI11010-DIS 2011