Lie point symmetries of differential--difference equations
Mathematical Physics
2010-04-30 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We present an algorithm for determining the Lie point symmetries of differential equations on fixed non transforming lattices, i.e. equations involving both continuous and discrete independent variables. The symmetries of a specific integrable discretization of the Krichever-Novikov equation, the Toda lattice and Toda field theory are presented as examples of the general method.
Cite
@article{arxiv.1004.5311,
title = {Lie point symmetries of differential--difference equations},
author = {D. Levi and P. Winternitz and R. Yamilov},
journal= {arXiv preprint arXiv:1004.5311},
year = {2010}
}
Comments
17 pages, 1 figure