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acts like a “minute-hand” showing the time in the rest-frame associated with the vortex. At some conditions, a moving vortex with the shape excitation can have less energy than the same vortex without it.
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D. R. Gulevich, F. V. Kusmartsev, Sergey
Savelev, V. A. Yampolskii, and Franco Nori (2008). "Shape waves in 2D Josephson junctions: Exact solutions and time dilation".
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line of an arbitrary profile. Shape waves have remarkable properties exhibiting
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