Анотація:
The nonstationary dynamics of topological solitons (dislocations, domain walls, fluxons) and their
bound states in one-dimensional systems with high dispersion are investigated. Dynamical features of a
moving kink emitting radiation and breathers are studied analytically. Conditions of the breather excitation
and its dynamical properties are specified. Processes of soliton complex formation are studied analytically
and numerically in relation to the strength of the dispersion, soliton velocity, and distance between solitons.
It is shown that moving bound soliton complexes with internal structure can be stabilized by an external
force in a dissipative medium then their velocities depend in a step-like manner on a driving strength.