Solitary and freak waves in a dusty plasma with negative ions

Journal Article · Thu Sep 15 04:00:00 EDT 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3633910· OSTI ID:22043489

Abdelsalam, U M ^[1]; Moslem, W M ^[2]; Khater, A H ^[3]; Shukla, P K ^[2]

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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. Department of Mathematics, Faculty of Science, Beni-suef University (Egypt)

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.

• OSTI ID: 22043489
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 9 Vol. 18; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

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