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Nonlinear localization of excitations and the dynamics of solitons in self-modulated systems |
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| Authors: | A. S. Kovalev I. V. Gerasimchuk |
| Affiliation: | (1) Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Kharkov, 61103, Ukraine;(2) Institute for Theoretical Physics, National Scientific Center Kharkov Institute of Physics and Technology, Kharkov, 61108, Ukraine |
| Abstract: | The nonlinear dynamics of systems with a spatially periodic ground state was studied. The dynamics of kinks against the background of a periodic soliton structure was considered for the example of the sine-Klein-Gordon model that described a fluxon lattice in a long Josephson contact in an external magnetic field and an incommensurate structure of a surface atomic layer or adatom chains on the surface of a crystal. The velocity of moving kinks was shown to be bounded from above and from below if the ground state was spatially periodic. |
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