Scattering of sine-Gordon Breathers on Potential Wells

Abstract

We analyse the scattering of sine-Gordon breathers on a square potential well. We show that the scattering process depends not only on the vibration frequency of the breather and its incoming speed but also on its phase as well as the depth and width of the well. We show that the breather can pass through the well and exit with a speed different, sometime larger, from the initial one. It can also be trapped and very slowly decay inside the well or bounce out of the well and go back to where it came from. We also show that the breather can split into a kink and an anti-kink pair when it hits the well.

16 pages, 19 figures

References in corpus (6)

• Classically integrable field theories with defects
• Interaction of sine-Gordon kinks with defects: The two-bounce resonance
• Dynamical properties of a Soliton in a Potential Well
• Scattering of topological solitons on holes and barriers
• Scattering of Sine-Gordon kinks on potential wells
• Information transport by sine-Gordon solitons in microtubules

Cited by in corpus (3)

• Solvable self-dual impurity models
• Interaction of sine-Gordon kinks and breathers with a $\mathcal{P}\mathcal{T}$-symmetric defect
• Bogomolny equations for the BPS Skyrme models with impurity