A discrete linearizability test based on multiscale analysis
Exactly Solvable and Integrable Systems
2015-05-20 v1 Mathematical Physics
math.MP
Abstract
In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution. We show that the A_1, A_2 and A_3 linearizability conditions restrain the number of the parameters which enter into the equation. A subclass of the equations which pass the A_3 C-integrability conditions can be linearized by a Mobius transformation.
Cite
@article{arxiv.1011.0141,
title = {A discrete linearizability test based on multiscale analysis},
author = {R. Hernandez Heredero and D. Levi and C. Scimiterna},
journal= {arXiv preprint arXiv:1011.0141},
year = {2015}
}