Waves in the Skyrme–Faddeev model and integrable reductions

DOI10.1088/1751-8113/46/27/275201zbMATH Open1270.81126arXiv1210.1873OpenAlexW2111671172MaRDI QIDQ5325996

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Publication date: 31 July 2013

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1210.1873

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