Weak Lax pairs for lattice equations
Exactly Solvable and Integrable Systems
2012-06-26 v1 Dynamical Systems
Abstract
We consider various 2D lattice equations and their integrability, from the point of view of 3D consistency, Lax pairs and B\"acklund transformations. We show that these concepts, which are associated with integrability, are not strictly equivalent. In the course of our analysis, we introduce a number of black and white lattice models, as well as variants of the functional Yang-Baxter equation.
Keywords
Cite
@article{arxiv.1105.3329,
title = {Weak Lax pairs for lattice equations},
author = {Jarmo Hietarinta and Claude Viallet},
journal= {arXiv preprint arXiv:1105.3329},
year = {2012}
}