Abstract
The collective coordinate method has been used to investigate the oscillation mode of the static and moving π-π kink system of the double sine-Gordon equation. A condition for the linear stability of the system has been found, the interaction parameter λ<0.774. We have shown a pronounced effect of a constant external perturbation generating nonlinear periodic nonsinusoidal oscillations. This radiation appears due to interplay of the nonlinearity and of the perturbation.