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Formation and Interaction of Two-Kink Solitons

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Nonlinear Dynamics: Materials, Theory and Experiments

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 173))

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Abstract

Two-kink soliton solutions have received attention due to its implications in string theory and particles physics. In the present work we analyze the necessary conditions for the appearance of two-kink solitons in the sine-Gordon model under the perturbation of a space-dependant force. Interactions of two-kink solitons are also investigated. We show that kink repulsive force eventually leads to a fragmentation of the solution before interaction and finally to dissolution of these bound states.

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Acknowledgments

M.A.G-N. thanks FONDECYT project 11130450 for funding support.

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Correspondence to Mónica A. García-Ñustes .

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García-Ñustes, M.A. (2016). Formation and Interaction of Two-Kink Solitons. In: Tlidi, M., Clerc, M. (eds) Nonlinear Dynamics: Materials, Theory and Experiments. Springer Proceedings in Physics, vol 173. Springer, Cham. https://doi.org/10.1007/978-3-319-24871-4_24

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