6 citations · 6 across the 1 of their papers we have counts for
2 papers
nlin.SI2020
Automorphic Lie algebras and corresponding integrable systems
Rhys T. Bury, Alexander V. Mikhailov
We study automorphic Lie algebras and their applications to integrable systems. Automorphic Lie algebras are a natural generalisation of celebrated Kac-Moody algebras to the case w…
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…