This article is cited in 2 papers

Asymptotic behavior of dispersive waves in a spiral structure at large times

V. V. Kiselev

Mikheev Institute of Metal Physics, Ural Branch, RAS, Ekaterinburg, Russia

Abstract: In the framework of the sine-Gordon integrable model for spiral magnetic structures, we investigate the behavior at large times of a weakly nonlinear dispersive wave field generated by a spatially local initial excitation of the structure. The method used is based on a direct asymptotic analysis of the corresponding matrix of the Riemann problem on the torus.

Keywords: spiral structure, sine-Gordon equation, asymptotic behavior, dispersive wave.

PACS: 02.30.Jr

MSC: 30Fxx,74J30

Received: 05.06.2015

DOI: 10.4213/tmf8985

 English version: Theoretical and Mathematical Physics, 2016, 187:1, 463–478

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