Modulational instability on triangular dynamical lattices with long-range interactions and dispersion
Publication date
2004-01
Document type
Research article
Author
Organisational unit
Technische Universität Clausthal
Scopus ID
Publisher
Springer
Series or journal
European Physical Journal B
ISSN
Periodical volume
41
First page
495
Last page
501
Part of the university bibliography
Nein
Language
English
Abstract
The influence of long-range interactions on the stability of stationary solutions of triangular lattices described by the continuum-discrete nonlinear Schrödinger equation is analyzed. By virtue of the linear stability analysis and a variational approach we demonstrate that both soliten array and continuouswave solutions are modulationally unstable. Analytical expressions for instability thresholds and growth rate spectra are presented and compared with the corresponding results in the approximation of a nearest neighbor interaction.
Version
Not applicable (or unknown)
Access right on openHSU
Metadata only access