Wave packet in a two-dimensional hexagonal crystal

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

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Pages (from-to)022106-1
Number of pages22105
JournalPhysics of Plasmas
Issue number2
Publication statusPublished - Feb 2005


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


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