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

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

2007-08-08

arxiv.org/abs/0708.1088v1

Phys.Rev.E77:036613,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 7 ps figures, latex

Scientific paper

10.1103/PhysRevE.77.036613

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.

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