Abstract
The dynamics of the so-called wobblers, i.e. 4π-kinks of the 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 of the wobbler's velocity only if the wobbler was excited prior to the collision. The corresponding changes of velocity and of the internal oscillation amplitude are calculated. Inelastic collision of two unexcited wobblers in the presence of the inhomogeneity is briefly considered too.
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