107 citations · 343 across the 13 of their papers we have counts for
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Yang-Baxter maps associated to elliptic curves
Vassilios G. Papageorgiou, Anastasios G. Tongas
We present Yang-Baxter maps associated to elliptic curves. They are related to discrete versions of the Krichever-Novikov and the Landau-Lifshits equations. A lifting of scalar int…
Yang Baxter maps with first degree polynomial 2 by 2 Lax matrices
Theodoros E. Kouloukas, Vassilios G. Papageorgiou
A family of nonparametric Yang Baxter (YB) maps is constructed by refactorization of the product of two 2 by 2 matrix polynomials of first degree. These maps are Poisson with respe…
Yang-Baxter maps and multi-field integrable lattice equations
V. G. Papageorgiou, A. G. Tongas
A variety of Yang-Baxter maps are obtained from integrable multi-field equations on quad-graphs. A systematic framework for investigating this connection relies on the symmetry gro…
Yang-Baxter maps and symmetries of integrable equations on quad-graphs
Vassilios G. Papageorgiou, Anastasios G. Tongas, Alexander P. Veselov
A connection between the Yang-Baxter relation for maps and the multi-dimensional consistency property of integrable equations on quad-graphs is investigated. The approach is based…