Waves in the Skyrme–Faddeev model and integrable reductions

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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.

Autore Pugliese

Tutti gli autori

  • L. Martina , M. V. Pavlov , S. A. Zykov

Titolo volume/Rivista

JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL

Anno di pubblicazione

2013

ISSN

1751-8113

ISBN

Non Disponibile

Numero di citazioni Wos

1

Ultimo Aggiornamento Citazioni

28/04/2018

Numero di citazioni Scopus

1

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile