We show that kink solitons may exist on top of a rotating background as localized objects if the background dynamics is phase locked to a rapidly oscillating ac force. The result is demonstrated analytically for the sine-Gordon model, showing excellent agreement with numerical simulations. In the context of long Josephson junctions this phenomenon means that the well known Shapiro steps in the current-voltage characteristics change into a set of the zero-field steps according to the number of propagating fluxons.
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Univ Politecn Cataluna, Dept Matemat, Diagonal 647, Barcelona 08028, SpainUniv Politecn Cataluna, Dept Matemat, Diagonal 647, Barcelona 08028, Spain
de Haro, Jaume
Salo, Llibert Areste
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Queen Mary Univ London, Sch Math Sci, Mile End Rd, London E1 4NS, EnglandUniv Politecn Cataluna, Dept Matemat, Diagonal 647, Barcelona 08028, Spain
Salo, Llibert Areste
Pan, Supriya
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Presidency Univ, Dept Math, 86-1 Coll St, Kolkata 700073, India
Durban Univ Technol, Inst Syst Sci, POB 1334, ZA-4000 Durban, South AfricaUniv Politecn Cataluna, Dept Matemat, Diagonal 647, Barcelona 08028, Spain