Scattering of sine-Gordon Kinks and Breathers on a Finite Width
Well

Piette, B.; Zakrzewski, W.J.

Abstract

We analyse the scattering of sine-Gordon kinks and breathers on a square potential well. We show that when a kink is sent onto the well, it can go through it, be trapped, or sometimes even bounce back out of the well. For breathers, the situation is even more surprising as they can pass through the well and exit with a speed different, sometimes even larger, from the initial one. Breathers can also be trapped and very slowly decay inside the well or bounce in the well and return to where they came from. We also show that breathers can split into a kink and an anti-kink pair when they hit the well.

Citation

Well. Presented at Dynamic Systems and Applications, Atlanta, Georgia, USA

• Presentation Conference Type: Conference Paper (published)
• Conference Name: Dynamic Systems and Applications
• Publication Date: 2008
• Deposit Date: Nov 22, 2010
• Series Title: Proceedings of Dynamic Systems and Applications
• Public URL: https://durham-repository.worktribe.com/output/1694346