Group Analysis of Differential Equations and Integrable Systems − 2018


Anastasios Tongas (University of Patras, Greece)

Tetrahedron and boundary maps from integrable lattice equations

Abstract:
We study Yang-Baxter (YB) maps and Functional Tetrahedron (FT) maps within the context of multidimensional consistent 2d and 3d lattice equations, and their symmetry groups. A non-commutative lattice equation is presented which serves as a 3d analog of the discrete Calapso equation, introduced by Schief, and its various lower-dimensional vector forms are investigated. Reductions of solutions satisfying the FT equation to solutions of the YB equation via boundary maps of the former ones are also considered.