Four Points Linearizable Lattice Schemes
Exactly Solvable and Integrable Systems
2013-01-07 v1 Mathematical Physics
Group Theory
math.MP
Abstract
We provide conditions for a lattice scheme defined on a four points lattice to be linearizable by a point transformation. We apply the obtained conditions to a symmetry preserving difference scheme for the potential Burgers introduced by Dorodnitsyn \cite{db} and show that it is not linearizable.
Cite
@article{arxiv.1301.0732,
title = {Four Points Linearizable Lattice Schemes},
author = {D. Levi and C. Scimiterna},
journal= {arXiv preprint arXiv:1301.0732},
year = {2013}
}