Impact of electron trapping in degenerate quantum plasma on the ion-acoustic breathers and super freak waves. (August 2018)

• Record Type: Journal Article
• Authors: El-Tantawy, S.A.; Ali Shan, Shaukat; Akhtar, Naseem; Elgendy, A.T.
• Is Part Of: Chaos, solitons and fractals. Volume 113(2018)
• Page Start: 356
• Page End: 364
• Publication Date: 2018-08
• Subjects: Quantum plasma -- Modulational instability -- Ion-acoustic breathers -- Super freak waves; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2018.04.037
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: We have studied the ion-acoustic structures (including freak waves, Akhmediev breather, and Kuznetsov–Ma breather) in an electron-ion plasma with degenerate trapped electrons. The regions of stability and unstability modulated wavepackets are determined precisely depending on the relevant physical parameters. The effect of electron temperature degeneracy on the ion-acoustic breathers and super freak waves is investigated. Abstract: The propagation of nonlinear ion-acoustic (IA) structures in a two-component plasma consisting of 'classical' ions and temperature degenerate trapped electrons is investigated. Using the reductive perturbation method, a nonlinear Schrödinger equation (NLSE) is obtained and the modulational instability (MI) of the ion acoustic waves (IAWs) is investigated. The regions of the stability and instability of the modulated structures are defined precisely depending on the MI criteria. The analytical solutions of the NLSE in the form of various types of freak waves, including the Peregrine soliton, the Akhmediev breather, and the Kuznetsov–Ma breather are examined. Moreover, the higher-order freak waves are presented. The characteristics of the rogue waves and their dependence on relevant parameters (the temperature of the degenerate trapped electrons and wavenumber) are investigated.