Dynamical soliton structures in one-dimensional lattices

The dynamics of the one-dimensional incommensurate crystals is investigated. It is shown that the moving chain can be considered as a dynamical soliton superstructure, the sample boundary being the source of solitons. The results based on Frenkel-Kontorowa model are applied to the Josephson junctions, superconducting films with thickness modulation, etc. The “current-voltage” characteristics are calculated. The critical behaviour is investigated.