Year: 2011
Type: article
Abstract: 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 evolution of the bond variables, and one can write the equations as non-autonomous 'Yang–Baxter maps'. We also present a model in which the vertex and bond variables are fully coupled. Integrability is tested with algebraic entropy as well as multidimensional consistency.
Authors: Jarmo Hietarinta, Claude Viallet
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2064190183