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Title: Solitary and freak waves in a dusty plasma with negative ions

Abstract

It is shown that solitary and freak waves can propagate in a dusty plasma composed of positive and negative ions, as well as nonextensive electrons. The evolution of the solitary waves is described by the Korteweg-de Vries (KdV) equation. However, when the frequency of the carrier wave is much smaller than the ion plasma frequency then the KdV equation is also used to study the nonlinear evolution of modulationally unstable modified ion-acoustic wavepackets through the derivation of the nonlinear Schroedinger (NLS) equation. In order to show that the characteristics of the solitary and freak waves are influenced by the plasma parameters, the relevant numerical analysis of the appropriate nonlinear solutions is presented. The relevance of the present investigation to nonlinear waves in astrophysical plasma environments is discussed.

Authors:
 [1];  [2];  [3];  [4];  [2];  [5]
  1. Department of Mathematics, Faculty of Science, Fayoum University (Egypt)
  2. RUB International Chair, International Centre for Advanced Studies in Physical Sciences, Faculty of Physics and Astronomy, Ruhr University Bochum, Bochum D-44780 (Germany)
  3. (Egypt)
  4. Department of Mathematics, Faculty of Science, Beni-suef University (Egypt)
  5. (United States)
Publication Date:
OSTI Identifier:
22043489
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 18; Journal Issue: 9; Other Information: (c) 2011 American Institute of Physics; 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; ASTROPHYSICS; CARRIERS; INSTABILITY; ION ACOUSTIC WAVES; KORTEWEG-DE VRIES EQUATION; LANGMUIR FREQUENCY; NUMERICAL ANALYSIS; PLASMA; SCHROEDINGER EQUATION; WAVE PACKETS

Citation Formats

Abdelsalam, U. M., Moslem, W. M., Department of Physics, Faculty of Science, Port Said University, Port Said, Khater, A. H., Shukla, P. K., and Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California 92093. Solitary and freak waves in a dusty plasma with negative ions. United States: N. p., 2011. Web. doi:10.1063/1.3633910.
Abdelsalam, U. M., Moslem, W. M., Department of Physics, Faculty of Science, Port Said University, Port Said, Khater, A. H., Shukla, P. K., & Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California 92093. Solitary and freak waves in a dusty plasma with negative ions. United States. doi:10.1063/1.3633910.
Abdelsalam, U. M., Moslem, W. M., Department of Physics, Faculty of Science, Port Said University, Port Said, Khater, A. H., Shukla, P. K., and Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California 92093. Thu . "Solitary and freak waves in a dusty plasma with negative ions". United States. doi:10.1063/1.3633910.
@article{osti_22043489,
title = {Solitary and freak waves in a dusty plasma with negative ions},
author = {Abdelsalam, U. M. and Moslem, W. M. and Department of Physics, Faculty of Science, Port Said University, Port Said and Khater, A. H. and Shukla, P. K. and Department of Mechanical and Aerospace Engineering, University of California, San Diego, La Jolla, California 92093},
abstractNote = {It is shown that solitary and freak waves can propagate in a dusty plasma composed of positive and negative ions, as well as nonextensive electrons. The evolution of the solitary waves is described by the Korteweg-de Vries (KdV) equation. However, when the frequency of the carrier wave is much smaller than the ion plasma frequency then the KdV equation is also used to study the nonlinear evolution of modulationally unstable modified ion-acoustic wavepackets through the derivation of the nonlinear Schroedinger (NLS) equation. In order to show that the characteristics of the solitary and freak waves are influenced by the plasma parameters, the relevant numerical analysis of the appropriate nonlinear solutions is presented. The relevance of the present investigation to nonlinear waves in astrophysical plasma environments is discussed.},
doi = {10.1063/1.3633910},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 9,
volume = 18,
place = {United States},
year = {2011},
month = {9}
}