Hopf maps as static solutions of the complex eikonal equation

DOI10.1063/1.1792931zbMath1064.58018arXivmath-ph/0312031OpenAlexW3102392457MaRDI QIDQ3024091

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Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0312031

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (10)

Investigation of the Nicole model ⋮ KNOTS, BRAIDS AND HEDGEHOGS FROM THE EIKONAL EQUATION ⋮ Comment on: ``Reduction of static field equation of Faddeev model to first order PDE [Phys. Lett. B 652 (2007) 384] ⋮ A first integration of some knot soliton models ⋮ Generalized eikonal knots and new integrable dynamical systems ⋮ Generalized integrability conditions and target space geometry ⋮ Knotted configurations with arbitrary Hopf index from the eikonal equation ⋮ Hopf solitons and Hopf Q-balls on \(S^{3}\) ⋮ The symmetries of the Dirac–Pauli equation in two and three dimensions ⋮ Integrability from an Abelian subgroup of the diffeomorphisms group

Cites Work

• A new approach to integrable theories in any dimension
• Generalized integrability and the connections between Skyrme-Faddeev and Yang-Mills theories
• THE KERNEL OF DIRAC OPERATORS ON ${\mathbb S}^3$ AND ℝ³
• Ring-shaped exact Hopf solitons
• Degeneracy of zero modes of the Dirac operator in three dimensions.

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