Weak Lax pairs for lattice equations

Details Weak Lax pairs for lattice equations Weak Lax pairs for lattice equations

2011-05-17

arxiv.org/abs/1105.3329v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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 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.

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