Reduction of static field equation of Faddeev model to first order PDE

2007/07/15 by Minoru Hirayama, Chang-Guang Shi · 3 citations
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Quantum chaos and dynamical systems #hep-th

paper · pdf · doi:10.1016/j.physletb.2007.07.025

published as Phys.Lett.B652:384-387,2007 · 8 pages

arxiv created 2007/07/15 · openalex publication_date 2007/07/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A method to solve the static field equation of the Faddeev model is presented. For a special combination of the concerned field, we adopt a form which is compatible with the field equation and involves two arbitrary complex functions. As a result, the static field equation is reduced to a set of first order partial differential equations.

Citations

• Some comments on the many-dimensional solitons

Cited by

• A first integration of some knot soliton models
• APPROXIMATE VORTEX SOLUTION OF FADDEEV MODEL
• Strongly coupled Skyrme–Faddeev–Niemi hopfions

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