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Elizabethan vortices *

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Publication:6166044
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DOI10.1088/1361-6544/acddc5zbMath1515.81169arXiv2301.06191OpenAlexW4381742897MaRDI QIDQ6166044

Maciej Dunajski, Unnamed Author

Publication date: 6 July 2023

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06191


zbMATH Keywords

Tzitzeica equationabelian vortexsinh Gordon equation


Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Soliton solutions (35C08)


Related Items

Separation of variables and superintegrability on Riemannian coverings



Cites Work

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  • Instanton solutions from Abelian sinh-Gordon and Tzitzeica vortices
  • Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations
  • Vortices as degenerate metrics
  • Cartan connections and integrable vortex equations
  • Holomorphic representation of constant mean curvature surfaces in Minkowski space: consequences of non-compactness in loop group methods
  • Five vortex equations
  • Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: II
  • Painlevé functions of the third kind
  • Topological Solitons
  • The Kijowski–Liu–Yau quasi-local mass of the Kerr black hole horizon *
  • Manton’s five vortex equations from self-duality
  • Nineteen vortex equations and integrability
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