Waves in the Skyrme--Faddeev model and integrable reductions

Abstract

In the present article we show that the Skyrme--Faddeev model possesses nonlinear wave solutions, which can be expressed in terms of elliptic functions. The Whitham averaging method has been exploited in order to describe slow deformation of periodic wave states, leading to a quasi-linear system. The reduction to general hydrodynamic systems have been considered and it is compared with other integrable reductions of the system.

16 pages, 5 figures

References in corpus (8)

• Electric-field control of spin waves at room temperature in multiferroic BiFeO3
• Spin-Charge Separation, Conformal Covariance and the SU(2) Yang-Mills Theory
• Knots in the Skyrme-Faddeev model
• Integrable theories and loop spaces: fundamentals, applications and new developments
• Chains of Skyrmions
• Walls and chains of planar skyrmions
• Skyrmion Multi-Walls
• Generalized Skyrme Crystals