most citedPoisson structures for lifts and periodic reductions of integrable lattice equations

15 citations · 26 across the 2 of their papers we have counts for

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2 papers

nlin.SI2014★ 15 cited

Poisson structures for lifts and periodic reductions of integrable lattice equations

Theodoros E. Kouloukas, Dinh T. Tran

We introduce and study suitable Poisson structures for four dimensional maps derived as lifts and specific periodic reductions of integrable lattice equations. These maps are Poiss…

math-ph2012★ 11 cited

3D compatible ternary systems and Yang-Baxter maps

Theodoros E. Kouloukas, Vassilios G. Papageorgiou

According to Shibukawa, ternary systems defined on quasigroups and satisfying certain conditions provide a way of constructing dynamical Yang-Baxter maps. After noticing that these…