Interaction of topological solitons with defects: using a nontrivial metric

Abstract

By including potential into the flat metric, we study interaction of sine-Gordon soliton with potentials. We will show numerically that while the soliton-barrier system shows fully classical behaviour, the soliton-well system demonstrates non-classical behaviour. In particular, solitons with low velocities are trapped in the well and emit energy radiation.

10 pages, 11 figures

References in corpus (1)

• Scattering of topological solitons on holes and barriers

Cited by in corpus (11)

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• Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions
• A Mechanical Analog of the Two-bounce Resonance of Solitary Waves: Modeling and Experiment
• Improved model for the topological soliton-potential interaction in Phi^4 Model
• Scattering of Topological Solitons on Barriers and Holes in Two λϕ^4 Models
• Dynamics of the topological structures in inhomogeneous media
• Scattering of Topological Solitons on Barriers and Holes of Deformed Sine-Gordon Models
• Dynamics of kink train solutions in deformed Multiple sine-Gordon models