In this paper the scattering between a wobbling kink and a wobbling antikink in the standard ${\varphi }^4$ model is numerically investigated. The dependence of the final velocities, wobbling amplitudes and frequencies of the scattered kinks on the collision velocity and on the initial wobbling amplitude is discussed. The fractal structure becomes more intricate due to the emergence of new resonance windows and the splitting of those arising in the nonexcited kink scattering. Outside this phase the final wobbling amplitude exhibits a linear dependence of the collision velocity, which is almost independent of the initial wobbling amplitude.

• Received 9 August 2020
• Accepted 14 January 2021

DOI:https://doi.org/10.1103/PhysRevD.103.045003

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Published by the American Physical Society