Lie discrete symmetries of lattice equations
Mathematical Physics
2016-08-16 v1 Group Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We extend two of the methods previously introduced to find discrete symmetries of differential equations to the case of difference and differential-difference equations. As an example of the application of the methods, we construct the discrete symmetries of the discrete Painlev\'e I equation and of the Toda lattice equation.
Keywords
Cite
@article{arxiv.math-ph/0307011,
title = {Lie discrete symmetries of lattice equations},
author = {Decio Levi and Miguel A. Rodríguez},
journal= {arXiv preprint arXiv:math-ph/0307011},
year = {2016}
}