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Weak Lax pairs for lattice equations | | Jarmo Hietarinta
; Claude Viallet
; | | Date: |
17 May 2011 | | 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 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. | | Source: | arXiv, 1105.3329 | | Services: | Forum | Review | PDF | Favorites | |
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