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Scattering of sine-Gordon Breathers on a Potential Well

Piette, B.; Zakrzewski, W.J.

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Authors

W.J. Zakrzewski



Abstract

We analyze the scattering of the classical 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, sometimes 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–antikink pair when it hits the well.

Citation

Piette, B., & Zakrzewski, W. (2009). Scattering of sine-Gordon Breathers on a Potential Well. Physical review E: Statistical, nonlinear, and soft matter physics, 79(4), Article 046603. https://doi.org/10.1103/physreve.79.046603

Journal Article Type Article
Publication Date Apr 1, 2009
Deposit Date Nov 22, 2010
Publicly Available Date Oct 15, 2013
Journal Physical review . E, Statistical, nonlinear, and soft matter physics
Print ISSN 1539-3755
Electronic ISSN 1550-2376
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 79
Issue 4
Article Number 046603
DOI https://doi.org/10.1103/physreve.79.046603
Public URL https://durham-repository.worktribe.com/output/1536973

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Copyright Statement
© American Physical Society






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