Integrable Abelian vortex-like solitons
Copyright policy )Integrable Abelian vortex-like solitons
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.
High Energy Physics - Theory, Nuclear and High Energy Physics, abelian vortices, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Painlevé analysis, Physics, QC1-999, Painlevé integrability, FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, topological solitons, Mathematical Physics (math-ph), Yang-Mills and other gauge theories in quantum field theory, Topological solitons, High Energy Physics - Theory (hep-th), Ginzburg–Landau, Ginzburg-Landau, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics, Abelian vortices
High Energy Physics - Theory, Nuclear and High Energy Physics, abelian vortices, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Painlevé analysis, Physics, QC1-999, Painlevé integrability, FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, topological solitons, Mathematical Physics (math-ph), Yang-Mills and other gauge theories in quantum field theory, Topological solitons, High Energy Physics - Theory (hep-th), Ginzburg–Landau, Ginzburg-Landau, Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics, Abelian vortices
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