Abstract
We study various solutions of the sine-Gordon model in 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.
- Received 13 August 2007
DOI:https://doi.org/10.1103/PhysRevE.77.036613
©2008 American Physical Society