Integrability and Symmetries of Difference Equations: the Adler-Bobenko-Suris Case
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...
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| Sprache: | eng |
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| Zusammenfassung: | 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. |
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| DOI: | 10.48550/arxiv.0902.3954 |