Three dimensional electrostatic solitary waves in a dense magnetoplasma with relativistically degenerate electrons

Ata-ur Rahman, Waqas Masood, Bengt Eliasson, A Qamar

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this paper, small but finite amplitude electrostatic solitary waves in a relativistic degenerate magnetoplasma, consisting of relativistically degenerate electrons and non-degenerate cold ions, are investigated. The Zakharov-Kuznetsov equation is derived employing the reductive perturbation technique and its solitary wave solution is analyzed. It is shown that only compressive electrostatic solitary structures can propagate in such a degenerate plasma system. The effects of plasma number density, ion cyclotron frequency, and direction cosines on the profiles of ion acoustic solitary waves are investigated and discussed at length. The relevance of the present investigation vis-a-vis pulsating white dwarfs is also pointed out.
LanguageEnglish
Article number092305
Number of pages5
JournalPhysics of Plasmas
Volume20
Issue number9
DOIs
Publication statusPublished - 24 Sep 2013

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solitary waves
electrostatics
electrons
cyclotron frequency
ions
perturbation
acoustics
profiles

Keywords

  • magnetoplasmas
  • degenerate electrons
  • plasma electrostatic waves
  • plasma ion acoustic waves
  • relativistic plasmas

Cite this

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Three dimensional electrostatic solitary waves in a dense magnetoplasma with relativistically degenerate electrons. / Rahman, Ata-ur; Masood, Waqas; Eliasson, Bengt; Qamar, A.

In: Physics of Plasmas, Vol. 20, No. 9, 092305, 24.09.2013.

Research output: Contribution to journalArticle

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AB - In this paper, small but finite amplitude electrostatic solitary waves in a relativistic degenerate magnetoplasma, consisting of relativistically degenerate electrons and non-degenerate cold ions, are investigated. The Zakharov-Kuznetsov equation is derived employing the reductive perturbation technique and its solitary wave solution is analyzed. It is shown that only compressive electrostatic solitary structures can propagate in such a degenerate plasma system. The effects of plasma number density, ion cyclotron frequency, and direction cosines on the profiles of ion acoustic solitary waves are investigated and discussed at length. The relevance of the present investigation vis-a-vis pulsating white dwarfs is also pointed out.

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