Integrable Abelian Vortex-like solitons
arXiv:1612.01879 · doi:10.1016/j.physletb.2017.01.078
Abstract
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 given class of models. Explicit solutions are determined in terms of the third Painlevé transcendents, allowing us to calculate physical quantities such as the vortex number and the vortex strength. These solutions can be interpreted as the usual Abelian-Higgs vortices on surfaces of non-constant curvature with conical singularity.
10 pages, 2 figures. Typos corrected. References added. Added explanation of resonance in sec 3. Published version
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