Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations
Exactly Solvable and Integrable Systems
2019-07-01 v1 Mathematical Physics
math.MP
Abstract
In this paper we construct the autonomous quad-equations which admit as symmetries the five-point differential-difference equations belonging to known lists found by Garifullin, Yamilov and Levi. The obtained equations are classified up to autonomous point transformations and some simple non-autonomous transformations. We discuss our results in the framework of the known literature. There are among them a few new examples of both sine-Gordon and Liouville type equations.
Keywords
Cite
@article{arxiv.1810.11184,
title = {Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations},
author = {R. N. Garifullin and G. Gubbiotti and R. I. Yamilov},
journal= {arXiv preprint arXiv:1810.11184},
year = {2019}
}
Comments
27 pages