Radiative and Inelastic Effects in Dynamics of Double Sine-gordon Solitons

The dynamics ofthe so-called wobblers, i.e. 4it-kinks ofthe double sine-Gordon equation with excited internal oscillations, is studied. The rate of energy emission from a weakly excited wobbler is calculated. Then scattering of a wobbler by a localized inhomogeneity is considered and it is demonstrated that in the first approximation it results in the change ofthe wobbler’s velocity only if the wobbler was excited prior to the collision. The corresponding changes of velocity and ofthe internal oscillation amplitude are calculated. Inelastic collision oftwo unexcitedwobblers in the presenceofthe inhomogeneity is briefly considered too.