Ring-shaped exact Hopf solitons

DOI10.1063/1.1612897zbMath1063.58015arXivhep-th/0302189OpenAlexW3100678525MaRDI QIDQ4833178

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Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/hep-th/0302189

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (9)

Soliton stability in some knot soliton models ⋮ KNOTS, BRAIDS AND HEDGEHOGS FROM THE EIKONAL EQUATION ⋮ Cyclic statistics in three dimensions ⋮ Generalized eikonal knots and new integrable dynamical systems ⋮ Generalized integrability conditions and target space geometry ⋮ Hopf maps as static solutions of the complex eikonal equation ⋮ TOROIDAL SOLITON SOLUTIONS IN O(3)^N NONLINEAR SIGMA MODEL ⋮ Knotted configurations with arbitrary Hopf index from the eikonal equation ⋮ Integrability and Hopf solitons in models with explicitly broken \(O(3)\) symmetry

Cites Work

• Construction of nonlinear sigma-models in two and higher space- dimensions
• A new approach to integrable theories in any dimension
• A non-linear field theory
• Nontrivial soliton scattering in an integrable chiral model in (2+1)-dimensions
• Finite-energy static solutions to chiral models in three space dimensions

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