Resonance structures in kink-antikink collisions in a deformed sine-Gordon model

Abstract

We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the ${\varphi }^4$ model, and a ${\varphi }^6$-like model with three degenerate vacua. We find a rich variety of behaviours, including integrability breaking, resonance windows with increasingly irregular patterns, and new types of windows near the ${\varphi }^6$-like regime. False vacua, extra kink modes and kink fragmentation play important roles in the explanations of these phenomena. Our numerical studies are backed up by detailed analytical considerations.

40 pages, 31 figures

References in corpus (8)

• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Collective coordinate model of kink-antikink collisions in ${\varphi }^4$ theory
• Scattering between wobbling kinks
• Kink Moduli Spaces -- Collective Coordinates Reconsidered
• The ${\varphi }^4$ model with the BPS preserving defect
• Kink Dynamics in a Parametric ${\varphi }^6$ System: A Model With Controllably Many Internal Modes
• Could the primordial radiation be responsible for vanishing of topological defects?
• The concept of quasi-integrability: a concrete example

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