A new look at the double sine-Gordon kink-antikink scattering

Abstract

We study the kink-antikink scattering within the double sine-Gordon model. In the numerical simulations we found a critical value $v_{cr}$ of the initial velocity $v_{in}$, which separates two different scenarios: at $v_{in}<v_{cr}$ the kinks capture each other and form a bound state, while at $v_{in}>v_{cr}$ the kinks pass through each other and escape to infinities. We obtain non-monotonous dependence of $v_{cr}$ on the model parameter $R$. Besides that, at some initial velocities below $v_{cr}$ we observe formation and interaction of the so-called oscillons (new phenomenon), as well as escape windows (well-known phenomenon).

arXiv comment6 pages, 5 figures; Proceedings of the 7th International Conference "Problems of Mathematical Physics and Mathematical Modelling", Moscow, 25-27 June 2018

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Cited by in corpus (8)

• Multi-kink scattering in the double sine-Gordon model
• Explicit kinks in higher-order field theories
• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Kink scattering in the presence of geometric constrictions
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• Kink dynamics in a high-order field model
• Kinks scattering in deformed ${\phi }^6$ model