Wave packet in a two-dimensional hexagonal crystal

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

doi:10.1063/1.1850922

Wave packet in a two-dimensional hexagonal crystal

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

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	022106-1
Number of pages	22105
Journal	Physics of Plasmas
Volume	12
Issue number	2
DOIs	https://doi.org/10.1063/1.1850922
Publication status	Published - Feb 2005

Keywords

dust lattice waves
non-linear propagation
waves
physics
plasmas

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10.1063/1.1850922

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title = "Wave packet in a two-dimensional hexagonal crystal",

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 Schr{\"o}dinger 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.",

keywords = "dust lattice waves, non-linear propagation, waves, physics, plasmas",

author = "Wen-shan Duan and John Parkes and Mai-mai Lin",

year = "2005",

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doi = "10.1063/1.1850922",

language = "English",

volume = "12",

pages = "022106--1",

journal = "Physics of Plasmas",

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T1 - Wave packet in a two-dimensional hexagonal crystal

AU - Duan, Wen-shan

AU - Parkes, John

AU - Lin, Mai-mai

PY - 2005/2

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N2 - 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.

AB - 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.

KW - dust lattice waves

KW - non-linear propagation

KW - waves

KW - physics

KW - plasmas

UR - http://dx.doi.org/10.1063/1.1850922

U2 - 10.1063/1.1850922

DO - 10.1063/1.1850922

M3 - Article

SN - 1070-664X

VL - 12

SP - 22106

EP - 22101

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 2

ER -

Wave packet in a two-dimensional hexagonal crystal

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