4.5 Article

Weak Lax pairs for lattice equations

Journal

NONLINEARITY
Volume 25, Issue 7, Pages 1955-1966

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/25/7/1955

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Funding

  1. Ville de Paris
  2. Ville de Paris through the program 'Research in Paris'

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We consider various 2D lattice equations and their integrability, from the point of view of 3D consistency, Lax pairs and Backlund 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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