Electronegative nonlinear oscillating modes in plasmas

Chérif Souleman Panguetna, Conrad Bertrand Tabi, Timoléon Crépin Kofané

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The emergence of nonlinear modulated waves is addressed in an unmagnetized electronegative plasma made of Boltzmann electrons, Boltzmann negative ions and cold mobile positive ions. The reductive perturbation method is used to reduce the dynamics of the whole system to a cubic nonlinear Schrödinger equation, whose the nonlinear and dispersion coefficients, P and Q, are function of the negative ion parameters, namely the negative ion concentration ratio (α) and the electron-to-negative ion temperature ratio (σn). It is observed that these parameters importantly affect the formation of modulated ion-acoustic waves, either as exact solutions or via the activation of modulational instability. Especially, the theory of modulational instability is used to show the correlation between the parametric analysis and the formation of modulated solitons, obtained here as bright envelopes and kink-wave solitons.
Original languageEnglish
Pages (from-to)326-337
Number of pages12
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume55
DOIs
Publication statusPublished - Feb 1 2018

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Negative ions
Plasma
Modulational Instability
Plasmas
Solitons
Ludwig Boltzmann
Ion acoustic waves
Electron
Parametric Analysis
Cubic equation
Electrons
Kink
Acoustic Waves
Perturbation Method
Nonlinear equations
Envelope
Activation
Nonlinear Equations
Exact Solution
Positive ions

Cite this

Panguetna, Chérif Souleman ; Tabi, Conrad Bertrand ; Kofané, Timoléon Crépin. / Electronegative nonlinear oscillating modes in plasmas. In: Communications in Nonlinear Science and Numerical Simulation. 2018 ; Vol. 55. pp. 326-337.
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Electronegative nonlinear oscillating modes in plasmas. / Panguetna, Chérif Souleman; Tabi, Conrad Bertrand; Kofané, Timoléon Crépin.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 55, 01.02.2018, p. 326-337.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Electronegative nonlinear oscillating modes in plasmas

AU - Panguetna, Chérif Souleman

AU - Tabi, Conrad Bertrand

AU - Kofané, Timoléon Crépin

PY - 2018/2/1

Y1 - 2018/2/1

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AB - The emergence of nonlinear modulated waves is addressed in an unmagnetized electronegative plasma made of Boltzmann electrons, Boltzmann negative ions and cold mobile positive ions. The reductive perturbation method is used to reduce the dynamics of the whole system to a cubic nonlinear Schrödinger equation, whose the nonlinear and dispersion coefficients, P and Q, are function of the negative ion parameters, namely the negative ion concentration ratio (α) and the electron-to-negative ion temperature ratio (σn). It is observed that these parameters importantly affect the formation of modulated ion-acoustic waves, either as exact solutions or via the activation of modulational instability. Especially, the theory of modulational instability is used to show the correlation between the parametric analysis and the formation of modulated solitons, obtained here as bright envelopes and kink-wave solitons.

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