Dynamics of kink-kink collisions in the double-sine-Gordon system

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Abstract
We study the double-sine-Gordon kink-kink collisions in a formalism which employs collective variables to describe the internal oscillations of the kinks and their translational motion in their center-of-mass frame. The equations of motion are solved in the absence of the radiation field and dynamical dressing and the results are compared with numerical molecular-dynamics simulations. We investigate the energy exchange between the translational and internal modes, and a mechanism is proposed to explain the values of the translational velocity at which maximum energy is exchanged between the two modes.