30 citations · 85 across the 4 of their papers we have counts for
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hep-th2017★ 30 cited
Manton's five vortex equations from self-duality
Felipe Contatto, Maciej Dunajski
We demonstrate that the five vortex equations recently introduced by Manton ariseas symmetry reductions of the anti-self-dual Yang--Mills equations in four dimensions. In particula…
hep-th2016★ 29 cited
Integrable Abelian Vortex-like solitons
Felipe Contatto
We propose a modified version of the Ginzburg-Landau energy functional admitting static solitons and determine all the Painlevé-integrable cases of its Bogomolny equations of a giv…
hep-th2014★ 26 cited
Instanton Solutions from Abelian Sinh-Gordon and Tzitzeica Vortices
Felipe Contatto, Daniele Dorigoni
We study the Abelian Higgs vortex solutions to the sinh-Gordon equation and the elliptic Tzitzeica equation. Starting from these particular vortices, we construct solutions to the…