  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.
