Linearization through symmetries for discrete equations
Mathematical Physics
2013-02-04 v1 Group Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We show that one can define through the symmetry approach a procedure to check the linearizability of a difference equation via a point or a discrete Cole-Hopf transformation. If the equation is linearizable the symmetry provides the linearizing transformation. At the end we present few examples of applications for equations defined on four lattice points.
Cite
@article{arxiv.1302.0154,
title = {Linearization through symmetries for discrete equations},
author = {Decio Levi and Christian Scimiterna},
journal= {arXiv preprint arXiv:1302.0154},
year = {2013}
}