263 citations · 921 across the 24 of their papers we have counts for
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nlin.SI2011★ 25 cited
Weak Lax pairs for lattice equations
Jarmo Hietarinta, Claude Viallet
We consider various 2D lattice equations and their integrability, from the point of view of 3D consistency, Lax pairs and Bäcklund transformations. We show that these concepts, whi…
nlin.SI2011★ 7 cited
Integrable lattice equations with vertex and bond variables
Jarmo Hietarinta, Claude Viallet
We present integrable lattice equations on a two dimensional square lattice with coupled vertex and bond variables. In some of the models the vertex dynamics is independent of the…