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Wave packet in a two-dimensional hexagonal crystal

Duan, Wen-shan and Parkes, John and Lin, Mai-mai (2005) Wave packet in a two-dimensional hexagonal crystal. Physics of Plasmas, 12 (2). 022106-1. ISSN 1070-664X

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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.

Item type: Article
ID code: 3959
Keywords: dust lattice waves, non-linear propagation, waves, physics, plasmas, Mathematics, Physics
Subjects: Science > Mathematics
Science > Physics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Dr Edward John Parkes
    Date Deposited: 06 Aug 2007
    Last modified: 12 Mar 2012 10:40
    URI: http://strathprints.strath.ac.uk/id/eprint/3959

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