Modulated transverse off-plane dust-lattice wave packets in hexagonal two-dimensional dusty plasma crystals

B. Farokhi, M. Shahmansouri, Yannis Kourakis

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The propagation of nonlinear dust-lattice waves in a two-dimensional hexagonal crystal is investigated. Transverse (off-plane) dust grain oscillatory motion is considered in the form of a backward propagating wave packet whose linear and nonlinear characteristics are investigated. An evolution equation is obtained for the slowly varying amplitude of the first (fundamental) harmonic by making use of a two-dimensional lattice multiple scales technique. An analysis based on the continuum approximation (spatially extended excitations compared to the lattice spacing) shows that wave packets will be modulationally stable and that dark-type envelope solitons (density holes) may occur in the long wavelength region. Evidence is provided of modulational instability and of the occurrence of bright-type envelopes (pulses) at shorter wavelengths. The role of second neighbor interactions is also investigated and is shown to be rather weak in determining the modulational stability region. The effect of dissipation, assumed negligible in the algebra throughout the article, is briefly discussed.
Original languageEnglish
Article number053706
JournalPhysics of Plasmas
Volume16
Issue number5
DOIs
Publication statusPublished - 2009

ASJC Scopus subject areas

  • Condensed Matter Physics

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