Resonance dynamics of kinks in the sine-Gordon model with impurity, external force and damping

We study the resonance dynamics of the sine-Gordon equation kinks with a point impurity. We consider the possibility of localized nonlinear waves generation on the impurities. By using analytical and numerical methods we show that the damping and external force counteract the development of kink resonant reflection from the attracting impurity. However, the underlying cause–a resonant energy exchange between solitons–still occurs.