2 3 Fe b 20 09 Integrability and Symmetries of Difference Equations : the Adler – Bobenko – Suris Case

@inproceedings{Xenitidis200923F,
  title={2 3 Fe b 20 09 Integrability and Symmetries of Difference Equations : the Adler – Bobenko – Suris Case},
  author={Pavlos Xenitidis},
  year={2009}
}
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-Bäcklund 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.