Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal

I. Kourakis; P. K. Shukla

doi:10.1063/1.1687417

Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal

I. Kourakis, P. K. Shukla

Mathematics

University of Bochum

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

31 Scopus citations

Abstract

The amplitude modulation of longitudinal waves propagating in a one-dimensional dust-crystal was investigated. The Schrödinger equations governing the evolution of the longitudinal dust lattice (LDL) wave envelope were derived, using a continuum approximation. The prediction of existence of asymmetric envelope localized modes was also discussed. It was found that long wavelength carrier waves were generally stable, evolving towards the formation of voids, while longer wavelengths allowed the formation of envelope pulses.

Original language	British English
Pages (from-to)	1384-1393
Number of pages	10
Journal	Physics of Plasmas
Volume	11
Issue number	4
DOIs	https://doi.org/10.1063/1.1687417
State	Published - Apr 2004

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title = "Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal",

abstract = "The amplitude modulation of longitudinal waves propagating in a one-dimensional dust-crystal was investigated. The Schr{\"o}dinger equations governing the evolution of the longitudinal dust lattice (LDL) wave envelope were derived, using a continuum approximation. The prediction of existence of asymmetric envelope localized modes was also discussed. It was found that long wavelength carrier waves were generally stable, evolving towards the formation of voids, while longer wavelengths allowed the formation of envelope pulses.",

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AU - Shukla, P. K.

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N2 - The amplitude modulation of longitudinal waves propagating in a one-dimensional dust-crystal was investigated. The Schrödinger equations governing the evolution of the longitudinal dust lattice (LDL) wave envelope were derived, using a continuum approximation. The prediction of existence of asymmetric envelope localized modes was also discussed. It was found that long wavelength carrier waves were generally stable, evolving towards the formation of voids, while longer wavelengths allowed the formation of envelope pulses.

AB - The amplitude modulation of longitudinal waves propagating in a one-dimensional dust-crystal was investigated. The Schrödinger equations governing the evolution of the longitudinal dust lattice (LDL) wave envelope were derived, using a continuum approximation. The prediction of existence of asymmetric envelope localized modes was also discussed. It was found that long wavelength carrier waves were generally stable, evolving towards the formation of voids, while longer wavelengths allowed the formation of envelope pulses.

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U2 - 10.1063/1.1687417

DO - 10.1063/1.1687417

M3 - Article

AN - SCOPUS:2542461302

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VL - 11

SP - 1384

EP - 1393

JO - Physics of Plasmas

JF - Physics of Plasmas

IS - 4

ER -

Modulated wavepackets associated with longitudinal dust grain oscillations in a dusty plasma crystal

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