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Title: Electron-acoustic rogue waves in a plasma with Tribeche–Tsallis–Cairns distributed electrons

Abstract

The problem of electron-acoustic (EA) rogue waves in a plasma consisting of fluid cold electrons, nonthermal nonextensive electrons and stationary ions, is addressed. A standard multiple scale method has been carried out to derive a nonlinear Schrödinger-like equation. The coefficients of dispersion and nonlinearity depend on the nonextensive and nonthermal parameters. The EA wave stability is analyzed. Interestingly, it is found that the wave number threshold, above which the EA wave modulational instability (MI) sets in, increases as the nonextensive parameter increases. As the nonthermal character of the electrons increases, the MI occurs at large wavelength. Moreover, it is shown that as the nonextensive parameter increases, the EA rogue wave pulse grows while its width is narrowed. The amplitude of the EA rogue wave decreases with an increase of the number of energetic electrons. In the absence of nonthermal electrons, the nonextensive effects are more perceptible and more noticeable. In view of the crucial importance of rogue waves, our results can contribute to the understanding of localized electrostatic envelope excitations and underlying physical processes, that may occur in space as well as in laboratory plasmas.

Authors:
 [1];  [1];  [2]
  1. Faculty of Physics, Theoretical Physics Laboratory (TPL), Plasma Physics Group (PPG), University of Bab-Ezzouar, USTHB, B. P. 32, El Alia, Algiers 16111 (Algeria)
  2. (Algeria)
Publication Date:
OSTI Identifier:
22617459
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 376; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ELECTRONS; NONLINEAR PROBLEMS; PLASMA; SCHROEDINGER EQUATION

Citation Formats

Merriche, Abderrzak, Tribeche, Mouloud, E-mail: mouloudtribeche@yahoo.fr, and Algerian Academy of Sciences and Technologies, Algiers. Electron-acoustic rogue waves in a plasma with Tribeche–Tsallis–Cairns distributed electrons. United States: N. p., 2017. Web. doi:10.1016/J.AOP.2016.11.002.
Merriche, Abderrzak, Tribeche, Mouloud, E-mail: mouloudtribeche@yahoo.fr, & Algerian Academy of Sciences and Technologies, Algiers. Electron-acoustic rogue waves in a plasma with Tribeche–Tsallis–Cairns distributed electrons. United States. doi:10.1016/J.AOP.2016.11.002.
Merriche, Abderrzak, Tribeche, Mouloud, E-mail: mouloudtribeche@yahoo.fr, and Algerian Academy of Sciences and Technologies, Algiers. Sun . "Electron-acoustic rogue waves in a plasma with Tribeche–Tsallis–Cairns distributed electrons". United States. doi:10.1016/J.AOP.2016.11.002.
@article{osti_22617459,
title = {Electron-acoustic rogue waves in a plasma with Tribeche–Tsallis–Cairns distributed electrons},
author = {Merriche, Abderrzak and Tribeche, Mouloud, E-mail: mouloudtribeche@yahoo.fr and Algerian Academy of Sciences and Technologies, Algiers},
abstractNote = {The problem of electron-acoustic (EA) rogue waves in a plasma consisting of fluid cold electrons, nonthermal nonextensive electrons and stationary ions, is addressed. A standard multiple scale method has been carried out to derive a nonlinear Schrödinger-like equation. The coefficients of dispersion and nonlinearity depend on the nonextensive and nonthermal parameters. The EA wave stability is analyzed. Interestingly, it is found that the wave number threshold, above which the EA wave modulational instability (MI) sets in, increases as the nonextensive parameter increases. As the nonthermal character of the electrons increases, the MI occurs at large wavelength. Moreover, it is shown that as the nonextensive parameter increases, the EA rogue wave pulse grows while its width is narrowed. The amplitude of the EA rogue wave decreases with an increase of the number of energetic electrons. In the absence of nonthermal electrons, the nonextensive effects are more perceptible and more noticeable. In view of the crucial importance of rogue waves, our results can contribute to the understanding of localized electrostatic envelope excitations and underlying physical processes, that may occur in space as well as in laboratory plasmas.},
doi = {10.1016/J.AOP.2016.11.002},
journal = {Annals of Physics},
number = ,
volume = 376,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2017},
month = {Sun Jan 15 00:00:00 EST 2017}
}
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