Wave packet in a two-dimensional hexagonal crystal

Wen-shan Duan, John Parkes, Mai-mai Lin

Research output: Contribution to journalArticle

Abstract

The propagation of a nonlinear wave packet of dust lattice waves (DLW) in a two-dimensional hexagonal crystal is investigated. The dispersion relation and the group velocity for DLW are found for longitudinal m and transverse n propagation directions. The reductive perturbation method is used to derive a (2 + 1)-dimensional nonlinear Schrödinger equation (NLSE) that governs the weakly nonlinear propagation of the wave packet. This NLSE is used to investigate the modulational instability of the packet of DLW. It is found that the instability region is different for different propagation directions.
LanguageEnglish
Pages022106-1
Number of pages22105
JournalPhysics of Plasmas
Volume12
Issue number2
DOIs
Publication statusPublished - Feb 2005

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wave packets
propagation
dust
nonlinear equations
crystals
group velocity
perturbation

Keywords

  • dust lattice waves
  • non-linear propagation
  • waves
  • physics
  • plasmas

Cite this

Duan, Wen-shan ; Parkes, John ; Lin, Mai-mai. / Wave packet in a two-dimensional hexagonal crystal. In: Physics of Plasmas. 2005 ; Vol. 12, No. 2. pp. 022106-1.
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Duan, W, Parkes, J & Lin, M 2005, 'Wave packet in a two-dimensional hexagonal crystal' Physics of Plasmas, vol. 12, no. 2, pp. 022106-1. https://doi.org/10.1063/1.1850922

Wave packet in a two-dimensional hexagonal crystal. / Duan, Wen-shan; Parkes, John; Lin, Mai-mai.

In: Physics of Plasmas, Vol. 12, No. 2, 02.2005, p. 022106-1.

Research output: Contribution to journalArticle

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