Resonance structures in kink-antikink collisions in a deformed sine-Gordon model
Patrick Dorey, Anastasia Gorina, I. Perapechka, T. Romańczukiewicz, Yakov Shnir
Abstract
A bstract We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the ϕ 4 model, and a ϕ 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 ϕ 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.
Topics & Concepts
PhysicsSineDegenerate energy levelsIntegrable systemTheoretical physicsFragmentation (computing)Resonance (particle physics)Mathematical physicsClassical mechanicsParticle physicsQuantum mechanicsGeometryComputer scienceOperating systemMathematicsNonlinear Waves and SolitonsNonlinear Photonic SystemsNonlinear Dynamics and Pattern Formation