Wobbles and other kink-breather solutions of the Sine Gordon model
L. A. Ferreira, Bernard Piette, Wojtek J. Zakrzewski
TL;DR
This paper explores specific solutions of the Sine Gordon model, including wobbles and breathers, analyzing their stability and scattering behaviors using the Hirota method.
Contribution
It introduces detailed analysis of wobble solutions and their bound states with breathers in the Sine Gordon model, highlighting stability and scattering properties.
Findings
Wobble solutions are constructed and characterized.
Bound states with breathers are analyzed for stability.
Scattering properties on potential wells are studied.
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 by K\"alberman, 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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.