English

Moving discrete breathers in a Klein--Gordon chain with an impurity

Pattern Formation and Solitons 2009-11-07 v1

Abstract

We analyze the influence of an impurity in the movement of discrete breathers in Klein--Gordon chains. We observe that the moving breather can cross the impurity, can be reflected by it, or can be trapped originating a quasi-periodic breather. We find that resonance with a nonlinear localised mode centred in the impurity is a necessary condition in order to observe the trapping phenomenon, as a difference with the resonance condition with a linear localised mode when this problem is studied within the Nonlinear Schr\"{o}dinger Equation approximation.

Keywords

Cite

@article{arxiv.nlin/0203026,
  title  = {Moving discrete breathers in a Klein--Gordon chain with an impurity},
  author = {J. Cuevas and F. Palmero and J. F. R. Archilla and F. R. Romero},
  journal= {arXiv preprint arXiv:nlin/0203026},
  year   = {2009}
}

Comments

6 pages, 6 figures