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arXiv · 2007.12318

Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model

Fabiano C. Simas·Fred C. Lima·K. Z. Nobrega·Adalto R. Gomes
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Abstract

We study kink-antikink collisions in a particular case of the double sine-Gordon model depending on only one parameter $r$. The scattering process of large kink-antikink shows the changing of the topological sector. For some parameter intervals we observed two connected effects: the production of up to five antikink-kink pairs and up to three solitary oscillations. The scattering process for small kink-antikink has several possibilities: the changing of the topological sector, one-bounce collision, two-bounce collision, or formation of a bion state. In particular, we observed for small values of $r$ and velocities, the formation of false two-bounce windows and the suppression of true two-bounce windows, despite the presence of an internal shape mode.

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Fabiano C. Simas, Fred C. Lima, K. Z. Nobrega, Adalto R. Gomes. 2020-08-12. Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model. https://doi.org/10.1007/jhep12(2020)143

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