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1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies 2 Department of Physics and Astronomy

Abstract : We consider various 2D lattice equations and their integrability, from the point of view of 3D consistency, Lax pairs and B¨acklund transformations. We show that these a concepts, which are associated with integrability, are not strictly equivalent. In the course of our analysis, we introduce a number of black and white lattice models, as well as variants of the functional Yang-Baxter equation.

keyword : Discrete integrable systems

Author: Jarmo Hietarinta - Claude Viallet -

Source: https://hal.archives-ouvertes.fr/


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