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…
Symmetries and integrability of discrete equations defined on a black-white lattice
P. D. Xenitidis, V. G. Papageorgiou
We study the deformations of the H equations, presented recently by Adler, Bobenko and Suris, which are naturally defined on a black-white lattice. For each one of these equations,…
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…