Are there Contact Transformations for Discrete Equations?
Mathematical Physics
2017-08-11 v1 math.MP
Abstract
We define infinitesimal contact transformations for ordinary difference schemes as transformations that depend on lattice points and can be integrated to form a local or global Lie group. We then prove that such contact transformations do not exist.
Cite
@article{arxiv.1102.2949,
title = {Are there Contact Transformations for Discrete Equations?},
author = {Decio Levi and Zora Thomova and Pavel Winternitz},
journal= {arXiv preprint arXiv:1102.2949},
year = {2017}
}
Comments
5 pages