2010
DOI: 10.1002/andp.201000048
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The studies on the motion of the sine‐Gordon kink on a curved surface

Abstract: 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.

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Cited by 5 publications
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“…A procedure that works for slowly varying curvatures in 1+1 dimensions we could apply to 2+1 dimensional system [10,11]. We start from Lagrangian density of the 3+1 dimensional sine-Gordon model…”
Section: Large-area Josephson Junctionmentioning
confidence: 99%
“…A procedure that works for slowly varying curvatures in 1+1 dimensions we could apply to 2+1 dimensional system [10,11]. We start from Lagrangian density of the 3+1 dimensional sine-Gordon model…”
Section: Large-area Josephson Junctionmentioning
confidence: 99%