Integrability and Symmetries of Difference Equations: the Adler-Bobenko-Suris Case
Exactly Solvable and Integrable Systems
2009-02-24 v1
Abstract
We consider the partial difference equations of the Adler-Bobenko-Suris classification, which are characterized as multidimensionally consistent. The latter property leads naturally to the construction of auto-B{\"a}cklund transformations and Lax pairs for all the equations in this class. Their symmetry analysis is presented and infinite hierarchies of generalized symmetries are explicitly constructed.
Keywords
Cite
@article{arxiv.0902.3954,
title = {Integrability and Symmetries of Difference Equations: the Adler-Bobenko-Suris Case},
author = {P. Xenitidis},
journal= {arXiv preprint arXiv:0902.3954},
year = {2009}
}
Comments
16 pages, for the proceedings of the 4th Workshop "Group Analysis of Differential Equations and Integrable Systems", Cyprus, 2008