• search hit 4 of 0
Back to Result List

Breathers in strongly anharmonic lattices

  • We present and study a family of finite amplitude breathers on a genuinely anharmonic Klein-Gordon lattice embedded in a nonlinear site potential. The direct numerical simulations are supported by a quasilinear Schrodinger equation (QLS) derived by averaging out the fast oscillations assuming small, albeit finite, amplitude vibrations. The genuinely anharmonic interlattice forces induce breathers which are strongly localized with tails evanescing at a doubly exponential rate and are either close to a continuum, with discrete effects being suppressed, or close to an anticontinuum state, with discrete effects being enhanced. Whereas the D-QLS breathers appear to be always stable, in general there is a stability threshold which improves with spareness of the lattice.

Export metadata

Additional Services

Search Google Scholar Statistics
Metadaten
Author details:Philip RosenauORCiD, Arkadij PikovskijORCiDGND
DOI:https://doi.org/10.1103/PhysRevE.89.022924
ISSN:1539-3755
ISSN:1550-2376
Pubmed ID:https://pubmed.ncbi.nlm.nih.gov/25353562
Title of parent work (English):Physical review : E, Statistical, nonlinear and soft matter physics
Publisher:American Physical Society
Place of publishing:College Park
Publication type:Article
Language:English
Year of first publication:2014
Publication year:2014
Release date:2017/03/27
Volume:89
Issue:2
Number of pages:9
Funding institution:Bauer-Neuman Chair in Applied Mathematics and Theoretical Mechanics; DFG/FAPESP [IRTG 1740/TRP 2011/50151-0]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
Accept ✔
This website uses technically necessary session cookies. By continuing to use the website, you agree to this. You can find our privacy policy here.