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arXiv · 0708.1088

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

L. A. Ferreira·Bernard Piette·Wojtek J. Zakrzewski
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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 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.

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L. A. Ferreira, Bernard Piette, Wojtek J. Zakrzewski. 2007-08-08. Wobbles and other kink-breather solutions of the Sine Gordon model. https://doi.org/10.1103/physreve.77.036613

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