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Instability of breathers in the topological discrete sine-Gordon system

High Energy Physics - Theory 2014-11-12 v1

Abstract

It is demonstrated that the breather solutions recently discovered in the weakly coupled topological discrete sine-Gordon system are spectrally unstable. This is in contrast with more conventional spatially discrete systems, whose breathers are always spectrally stable at sufficiently weak coupling.

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Cite

@article{arxiv.hep-th/0105074,
  title  = {Instability of breathers in the topological discrete sine-Gordon system},
  author = {J. M. Speight},
  journal= {arXiv preprint arXiv:hep-th/0105074},
  year   = {2014}
}

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7 pages