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nlin.SI2016★ 6 cited
Wave fronts and cascades of soliton interactions in the periodic two dimensional Volterra system
Rhys Bury, Alexander V. Mikhailov, Jing Ping Wang
In the paper we develop the dressing method for the solution of the two-dimensional periodic Volterra system with a period N. We derive soliton solutions of arbitrary rank and…
nlin.SI2016★ 16 cited
Anticommutative extension of the Adler map
Sotiris Konstantinou-Rizos, Alexander V. Mikhailov
We construct a noncommutative (Grassmann) extension of the well known Adler Yang-Baxter map. It satisfies the Yang-Baxter equation, it is reversible and birational. Our extension p…