Publication details for Professor Emeritus Wojtek ZakrzewskiFerreira, L.A., Piette, B. & Zakrzewski, W.J. (2008). Wobbles and other kink-breather solutions of the Sine Gordon model. Physical Review E 77: 036613.
- Publication type: Journal Article
- ISSN/ISBN: 1539-3755, 1550-2376
- DOI: 10.1103/PhysRevE.77.036613
- Further publication details on publisher web site
Author(s) from Durham
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.