On Quadrirational Yang-Baxter Maps

On Quadrirational Yang-Baxter Maps

We use the classification of the quadrirational maps given by Adler, Bobenko and Suris to describe when such maps satisfy the Yang-Baxter relation. We show that the corresponding maps can be characterized by certain singularity invariance condition. This leads to some new families of Yang-Baxter map...

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Bibliographic Details
Main Authors: V.G. Papageorgiou, Yu.B. Suris, A.G. Tongas, A.P. Veselov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-04-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Yang-Baxter maps
birational maps
integrability
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.033

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