Phys. Rev. E 77, 036613 (2008) [9 pages]Wobbles and other kink-breather solutions of the sine-Gordon modelReceived 13 August 2007; published 27 March 2008 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 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.77.036613
DOI:
10.1103/PhysRevE.77.036613
PACS:
05.45.Yv, 81.07.De, 63.20.K−
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