Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas

Chérif S. Panguetna, Conrad B. Tabi, Timoléon C. Kofané

Research output: Contribution to journalArticle

Abstract

Relativistic ion-acoustic waves are investigated in an electronegative plasma. The use of the reductive perturbation method summarizes the hydrodynamic model to a nonlinear Schrödinger equation which supports the occurrence of modulational instability (MI). From the MI criterion, we derive a critical value for the relativistic parameter α1, below which MI may develop in the system. The MI analysis is then conducted considering the presence and absence of negative ions, coupled to effects of relativistic parameter and the electron-to-negative ion temperature ratio. Under high values of the latter, additional regions of instability are detected, and their spatial expansion is very sensitive to the change in α1 and may support the appearance of rogue waves whose behaviors are discussed. The parametric analysis of super-rogue wave amplitude is performed, where its enhancement is debated relatively to changes in α1, in the presence and absence of negative ions.

Original languageEnglish
JournalJournal of Theoretical and Applied Physics
DOIs
Publication statusPublished - Jan 1 2019

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relativistic effects
negative ions
temperature ratio
ion acoustic waves
ion temperature
nonlinear equations
hydrodynamics
occurrences
perturbation
expansion
augmentation
electrons

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

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title = "Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas",
abstract = "Relativistic ion-acoustic waves are investigated in an electronegative plasma. The use of the reductive perturbation method summarizes the hydrodynamic model to a nonlinear Schr{\"o}dinger equation which supports the occurrence of modulational instability (MI). From the MI criterion, we derive a critical value for the relativistic parameter α1, below which MI may develop in the system. The MI analysis is then conducted considering the presence and absence of negative ions, coupled to effects of relativistic parameter and the electron-to-negative ion temperature ratio. Under high values of the latter, additional regions of instability are detected, and their spatial expansion is very sensitive to the change in α1 and may support the appearance of rogue waves whose behaviors are discussed. The parametric analysis of super-rogue wave amplitude is performed, where its enhancement is debated relatively to changes in α1, in the presence and absence of negative ions.",
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Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas. / Panguetna, Chérif S.; Tabi, Conrad B.; Kofané, Timoléon C.

In: Journal of Theoretical and Applied Physics, 01.01.2019.

Research output: Contribution to journalArticle

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AU - Panguetna, Chérif S.

AU - Tabi, Conrad B.

AU - Kofané, Timoléon C.

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AB - Relativistic ion-acoustic waves are investigated in an electronegative plasma. The use of the reductive perturbation method summarizes the hydrodynamic model to a nonlinear Schrödinger equation which supports the occurrence of modulational instability (MI). From the MI criterion, we derive a critical value for the relativistic parameter α1, below which MI may develop in the system. The MI analysis is then conducted considering the presence and absence of negative ions, coupled to effects of relativistic parameter and the electron-to-negative ion temperature ratio. Under high values of the latter, additional regions of instability are detected, and their spatial expansion is very sensitive to the change in α1 and may support the appearance of rogue waves whose behaviors are discussed. The parametric analysis of super-rogue wave amplitude is performed, where its enhancement is debated relatively to changes in α1, in the presence and absence of negative ions.

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