4.4 Article

The studies on the motion of the sine-Gordon kink on a curved surface

Journal

ANNALEN DER PHYSIK
Volume 522, Issue 8, Pages 574-583

Publisher

WILEY-BLACKWELL
DOI: 10.1002/andp.201000048

Keywords

Kink front; sine-Gordon model; curved manifold

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The numerical studies of the kink motion on a curved manifold were performed. Examples of the curved surfaces are considered in detail. Enlarging the kink width in curved regions of the surface and reduction of its speed is confirmed. Reflection of the kink front from the large curvature areas is observed. The influence of the curvature on the speed of the Vachaspati waves is also observed. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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