Discrete breathers close to the anticontinuum limit: Existence and wave scattering

S. Flach*, J. Dorignac, A. E. Miroshnichenko, V. Fleurov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The anticontinuum limit (i.e. the limit of weakly coupled oscillators) is used to obtain two surprising results. First we prove the continuation of discrete breathers of weakly interacting harmonic oscillators, provided a suitable coupling is chosen. Secondly we derive an analytical result for the wave transmission by a breather of the discrete non-linear Schrödinger equation at weak coupling. We obtain a resonant full reflection due to a Fano resonance.

Original languageEnglish
Pages (from-to)3996-4002
Number of pages7
JournalInternational Journal of Modern Physics B
Volume17
Issue number22-24 I
DOIs
StatePublished - 30 Sep 2003

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