Wobbles and other kink-breather solutions of the Sine Gordon model

Ferreira, L.A.; Piette, B.; Zakrzewski, W.J.

Abstract

We study various solutions of the sine-Gordon model in (1+1) dimensions. We use the Hirota method to construct some of them and then show that the wobble, discussed in detail in a recent paper by Kälberman, is one of such solutions. We concentrate our attention on a kink and its bound states with one or two breathers. We study their stability and some aspects of their scattering properties on potential wells and on fixed boundary conditions.

Citation

Ferreira, L., Piette, B., & Zakrzewski, W. (2008). Wobbles and other kink-breather solutions of the Sine Gordon model. Physical review E: Statistical, nonlinear, and soft matter physics, 77, https://doi.org/10.1103/physreve.77.036613

• Journal Article Type: Article
• Publication Date: 2008
• Deposit Date: Nov 22, 2010
• Journal: Physical Review E
• Print ISSN: 1539-3755
• Electronic ISSN: 1550-2376
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 77
• DOI: https://doi.org/10.1103/physreve.77.036613
• Public URL: https://durham-repository.worktribe.com/output/1513714
• Publisher URL: http://link.aps.org/doi/10.1103/PhysRevE.77.036613