Electronacoustic rogue waves in a plasma with Tribeche–Tsallis–Cairns distributed electrons
Abstract
The problem of electronacoustic (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 Schrödingerlike 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:
 Faculty of Physics, Theoretical Physics Laboratory (TPL), Plasma Physics Group (PPG), University of BabEzzouar, USTHB, B. P. 32, El Alia, Algiers 16111 (Algeria)
 (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, Email: mouloudtribeche@yahoo.fr, and Algerian Academy of Sciences and Technologies, Algiers. Electronacoustic 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, Email: mouloudtribeche@yahoo.fr, & Algerian Academy of Sciences and Technologies, Algiers. Electronacoustic 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, Email: mouloudtribeche@yahoo.fr, and Algerian Academy of Sciences and Technologies, Algiers. Sun .
"Electronacoustic 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 = {Electronacoustic rogue waves in a plasma with Tribeche–Tsallis–Cairns distributed electrons},
author = {Merriche, Abderrzak and Tribeche, Mouloud, Email: mouloudtribeche@yahoo.fr and Algerian Academy of Sciences and Technologies, Algiers},
abstractNote = {The problem of electronacoustic (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 Schrödingerlike 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}
}

Linear and nonlinear properties of electrostatic waves are investigated in an unmagnetized multicomponent plasma system consisting of cold and hot electrons obeying nonthermalTsallis distribution and warm ions using the Sagdeev pseudopotential technique. It is found that such a plasma supports soliton, supersoliton, and double layer structures. Also, the present plasma system supports the coexistence of arbitrary amplitude compressive and rarefactive solitons in a certain region of parameter space. Furthermore, numerical results reveal that the nonthermalTsallis distribution of electrons may affect the spatial profiles as well as the nature of the electrostatic nonlinear structures.

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