Modeling and simulation of large-amplitude ion-acoustic shocklets in degenerate quantized plasmas. (November 2021)

• Record Type: Journal Article
• Authors: Ali, S.; Alharbi, M.; Al-Hadeethi, Yas
• Is Part Of: Chaos, solitons and fractals. Volume 152(2021)
• Publication Date: 2021-11
• Subjects: PDEs -- Diagonalization matrix technique -- Nonlinearity -- Wave steepening; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111481
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: The manuscript basically presents novel findings related to nonlinear propagation and formation of the large-amplitude ion-acoustic (IA) shocklets in quantized plasmas. The latter have relevance to high density environments, such as, white dwarfs, where strong magnetic fields exist. Mathematically, the fluid equations for dynamical ions are solved nonlinearly together with the charge-neutrality condition and accounted for the Landau quantization effect, normalized electron temperature effects and ion-thermal corrections. After using the well-known diagonalization matrix technique, a set of modified characteristic equations is derived for electrostatic IA waves and analyzed both analytically and numerically. The solitary pulses are found to be localized and symmetric for stationary solution at time t = 0, whereas non-stationary asymmetrical shocklets exist as time progresses i.e., t > 0, leading to the self-steepening and wave breaking effects. Furthermore, the width and amplitudes of the solitary waves and shocklets are significantly influenced by the presence of quantizing magnetic fields, trapped/un-trapped electrons and ion-thermal corrections. The present results may prove useful to understand the self-steepening phenomenon and wave breaking of solitary waves in quantized dense plasmas, where strong magnetic fields are present. Abstract: Nonlinear propagation and formation of the large-amplitude ion-acoustic (IA) shocklets are studied in a magnetized dense plasma by taking into account the degenerate quantized electrons and classical ions. The ion-fluid equations are nonlinearly coupled and solved together along with a charge-neurality condition to account for the Landau quantization, normalized electron temperature and ion-thermal corrections. Relying on the diagonalization matrix technique, a set of modified characteristic wave equations is derived to support the IA waves both analytically and numerically in a dense quantized plasma. The solitary pulses are found as localized and symmetric at time t = 0 . However, non-stationary solutions introduce bipolar (asymmetrical) structures in the form of shocklets, that are characterized by the self-steepening and wave breaking effects as long as the time progresses. The excitations of these solitary waves and shocklets become significantly modified in the presence of quantizing magnetic fields, trapped/untrapped electrons and ion-thermal corrections. The present findings are helpful to understand the large-amplitude shock excitations in degenerate dense plasmas, where strong magnetic fields quantize the motion of inertialess electrons.