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



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.