Scattering of the double sine-Gordon kinks

We study the scattering of kink and antikink of the double sine-Gordon model. There is a critical value of the initial velocity $$v_{{\mathrm {cr}}}$$ of the colliding kinks, which separates different regimes of the collision. At $$v_{\mathrm {in}}>v_{\mathrm {cr}}$$ we observe kinks reflection, while at $$v_{\mathrm {in}}<v_{\mathrm {cr}}$$ their interaction is complicated with capture and escape windows. We obtain the dependence of $$v_{\mathrm {cr}}$$ on the parameter of the model. This dependence possesses a series of local maxima, which has not been reported by other authors. At some initial velocities below the critical value we observe a new phenomenon – the escape of two oscillons in the final state. Besides that, at $$v_{\mathrm {in}}<v_{\mathrm {cr}}$$ we found the initial kinks’ velocities at which the oscillons do not escape, and the final configuration looks like a bound state of two oscillons.

Перевод пока недоступен