Contact transformations for difference schemes
Mathematical Physics
2015-05-30 v1 Group Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We define a class of transformations of the dependent and independent variables in an ordinary difference scheme. The transformations leave the solution set of the system invariant and reduces to a group of contact transformations in the continuous limit. We use a simple example to show that the class is not empty and that such "contact transformations for discrete systems" genuinely exist.
Keywords
Cite
@article{arxiv.1110.3409,
title = {Contact transformations for difference schemes},
author = {Decio Levi and Zora Thomova and Pavel Winternitz},
journal= {arXiv preprint arXiv:1110.3409},
year = {2015}
}