The authors present a detailed numerical study of the dynamics of high-energy kink excitations in monatomic chains, with a simple description using a microscopic model of the narrow kink core. They present velocity-amplitude and energy-momentum curves for the kink which fit well the numerical results. Kink-kink collisions are slightly inelastic depending on the velocities and point of collision within a lattice spacing.
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Flytzanis et al. (1989) studied this question.
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