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

Ferreira, L. A.; Piette, Bernard; Zakrzewski, Wojtek J.

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

Authors

Ferreira, L. A.

Piette, Bernard

Zakrzewski, Wojtek J.

Description

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 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.
17 pages, 7 ps figures, latex