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Title: Dust-acoustic waves modulational instability and rogue waves in a polarized dusty plasma

Abstract

The polarization force-induced changes in the dust-acoustic waves (DAWs) modulational instability (MI) are examined. Using the reductive perturbation method, the nonlinear Schrödinger equation that governs the MI of the DAWs is obtained. It is found that the effect of the polarization term R is to narrow the wave number domain for the onset of instability. The amplitude of the wave envelope decreases as R increases, meaning that the polarization force effects render weaker the associated DA rogue waves. The latter may therefore completely damp in the vicinity of R ∼ 1, i.e., as the polarization force becomes close to the electrostatic one (the net force acting on the dust particles becomes vanishingly small). The DA rogue wave profile is very sensitive to any change in the restoring force acting on the dust particles. It turns out that the polarization effects may completely smear out the DA rogue waves.

Authors:
;  [1]
  1. Faculty of Physics, Theoretical Physics Laboratory, Plasma Physics Group, University of Bab-Ezzouar, USTHB, B.P. 32, El Alia, Algiers 16111 (Algeria)
Publication Date:
OSTI Identifier:
22486495
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 22; Journal Issue: 10; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; DUSTS; NONLINEAR PROBLEMS; PARTICLES; PERTURBATION THEORY; PLASMA; PLASMA INSTABILITY; POLARIZATION; SCHROEDINGER EQUATION; SOUND WAVES

Citation Formats

Bouzit, Omar, and Tribeche, Mouloud. Dust-acoustic waves modulational instability and rogue waves in a polarized dusty plasma. United States: N. p., 2015. Web. doi:10.1063/1.4933006.
Bouzit, Omar, & Tribeche, Mouloud. Dust-acoustic waves modulational instability and rogue waves in a polarized dusty plasma. United States. https://doi.org/10.1063/1.4933006
Bouzit, Omar, and Tribeche, Mouloud. 2015. "Dust-acoustic waves modulational instability and rogue waves in a polarized dusty plasma". United States. https://doi.org/10.1063/1.4933006.
@article{osti_22486495,
title = {Dust-acoustic waves modulational instability and rogue waves in a polarized dusty plasma},
author = {Bouzit, Omar and Tribeche, Mouloud},
abstractNote = {The polarization force-induced changes in the dust-acoustic waves (DAWs) modulational instability (MI) are examined. Using the reductive perturbation method, the nonlinear Schrödinger equation that governs the MI of the DAWs is obtained. It is found that the effect of the polarization term R is to narrow the wave number domain for the onset of instability. The amplitude of the wave envelope decreases as R increases, meaning that the polarization force effects render weaker the associated DA rogue waves. The latter may therefore completely damp in the vicinity of R ∼ 1, i.e., as the polarization force becomes close to the electrostatic one (the net force acting on the dust particles becomes vanishingly small). The DA rogue wave profile is very sensitive to any change in the restoring force acting on the dust particles. It turns out that the polarization effects may completely smear out the DA rogue waves.},
doi = {10.1063/1.4933006},
url = {https://www.osti.gov/biblio/22486495}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 10,
volume = 22,
place = {United States},
year = {Thu Oct 15 00:00:00 EDT 2015},
month = {Thu Oct 15 00:00:00 EDT 2015}
}