We show that the Skyrme–Faddeev model can be reduced in different ways to completely integrable sectors; the corresponding classes of solutions can be parametrized by specific sets of arbitrary functions. Moreover, using the ansatz of a phase and pseudo-phase reduction, the corresponding ordinary nonlinear wave solutions can be integrated in terms of elliptic functions, leading to periodic solutions. The Whitham averaging method has been exploited in order to describe a slow deformation of periodic wave states, leading to a Hamiltonian system, the integrability of which has been studied.

Waves in the Skyrme–Faddeev model and integrable reductions

MARTINA, Luigi;
2013-01-01

Abstract

We show that the Skyrme–Faddeev model can be reduced in different ways to completely integrable sectors; the corresponding classes of solutions can be parametrized by specific sets of arbitrary functions. Moreover, using the ansatz of a phase and pseudo-phase reduction, the corresponding ordinary nonlinear wave solutions can be integrated in terms of elliptic functions, leading to periodic solutions. The Whitham averaging method has been exploited in order to describe a slow deformation of periodic wave states, leading to a Hamiltonian system, the integrability of which has been studied.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/384034
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