of the soliton amplitude and width. The soliton energy is depleted as q increases. …

Soliton-like switching regimes are investigated for chains of bistable unit cells with energy non-degenerate ground … states. It is shown that there is a set of equilibrium soliton velocities in the chains of bistable units with complicated … internal structure. There are two essentially different regions of soliton initial velocities, so that the low external …

analytically that, in the case of the repulsive BEC, where the soliton is of the gap type, its effective mass is negative. In … accordance with this, we demonstrate that such a soliton cannot be held by the usual parabolic trap, but it can be captured … (performing harmonic oscillations) by an anti-trapping inverted parabolic potential. We also study the motion of the soliton in a …

states. Using a truncated form of these mean-field states as initial conditions, we build quantum analogs to the dark soliton …

soliton. Analytical results, based on perturbation techniques, for the motion of the dark soliton are obtained and compared to … may capture and drag a dark soliton. …