Symmetry Breaking and AC-Driven Dynamics of Solitons
نویسندگان
چکیده
We report on the possibility of unidirectional motion of a topological soliton in a dissipative AC-driven sine-Gordon equation. This motion is due to breaking of certain space-time symmetries. It can be achieved by the proper choice of the potential or the AC force. We formulate the necessary symmetry conditions for the AC force and confirm them with the first order perturbation theory and numerical simulations. The same symmetry considerations are applied to the discrete sine-Gordon equation.
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