Multibreather stability in discrete Klein-Gordon equations: Beyond nearest neighbor interactions

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Abstract

We present results on multibreather stability in one-dimensional nonlinear Klein-Gordon chains. Our analysis is based on Aubry's band theory and perturbation theory. First, we provide an alternative proof of the stability of multibreathers in a chain with nearest neighbor interactions only. Then, we extend our analysis to the case of interactions with up to three neighbors. For next-nearest neighbor and third-nearest neighbor interactions we also extend the theory to study the stability properties of recently found multibreathers that have nonstandard phase shifts (not equal to 0 or π).

Original languageEnglish (US)
Pages (from-to)1543-1553
Number of pages11
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume377
Issue number23-24
DOIs
StatePublished - Sep 16 2013

Keywords

  • Discrete Klein-Gordon equations
  • Multibreathers
  • Stability

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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