Obliquely propagating quantum solitary waves in quantum‐magnetized plasma with ultra‐relativistic degenerate electrons and positrons

Abstract

The oblique propagation of the quantum electrostatic solitary waves in magnetized relativistic quantum plasma is investigated using the quantum hydrodynamic equations. The plasma consists of dynamic relativistic degenerate electrons and positrons and a weakly relativistic ion beam. The Zakharov‐Kuznetsov equation is derived using the standard reductive perturbation technique that admits an obliquely propagating soliton solution. It is found that two types of quantum acoustic modes, that is, a slow acoustic mode and fast acoustic mode, could be propagated in our plasma model. The parameter that determines the nature of soliton, that is, compressive or rarefactive soliton, for slow mode is investigated. Our numerical results show that for the slow mode, the determining parameter is ion beam velocity in the case of relativistic degenerate electrons. We also have examined the effects of plasma parameters (like the beam velocity, the density ratio of positron to electron, the relativistic factor, and the propagation angle) on the characteristics of solitary waves.

Overtaking collisions of oblique isothermal ion‐acoustic multisolitons in ultra‐relativistic degenerate dense magnetoplasmas

“…Putting Equations (12)- (14) into the basic Equations (6)-(8) and collecting the terms of different powers of ε, the non-zero order of ε leads to the following expressions:…”

“…First, most previous studies have considered that degenerate particles, such as electrons and positrons, are completely degenerate and cold (i.e., T e,p = 0), where e and p for the electron and for the positron, respectively. [5,[7][8][9][10][11][12][13][14] Second, it was less commonly assumed that degenerate particles are at non-zero temperature T e,p ≠ 0. [15][16][17][18][19][20][21][22][23] It is the last method that interests us here even though most authors also mention a zero-temperature approach to simplify the mathematical treatment in their plasma models.…”

“…They [12] illustrated that ion-acoustic solitary waves were dampened due to the collisions of plasmas species with the neutrals. Soltani et al [14] investigated the oblique propagation of the quantum electrostatic solitary waves in magnetized relativistic quantum plasma with ultra-relativistic degenerate electrons and positrons. They [14] illustrated that the amplitude (the width) of quantum acoustic soliton decreases (increases) with the increase of the positron to electron density ratio for fast and slow modes.…”

“…Soltani et al [ 14 ] investigated the oblique propagation of the quantum electrostatic solitary waves in magnetized relativistic quantum plasma with ultra‐relativistic degenerate electrons and positrons. They [ 14 ] illustrated that the amplitude (the width) of quantum acoustic soliton decreases (increases) with the increase of the positron to electron density ratio for fast and slow modes. On the other hand, at a more realistic quantum plasma temperature T e,p ≠ 0, few investigations have demonstrated a comprehensive study of compact objects such as white dwarfs and laboratory applications such as laser–plasma interactions.…”

Ion Acoustic Shocks in a Weakly Relativistic Ion-Beam Degenerate Magnetoplasma

“…From analysis, it was seen that only positive potential cnoidal waves are produced. The quantum hydrodynamic equations were used to examine the oblique propagation of quantum electrostatic solitary waves in a magnetized relativistic quantum plasma [19] by deriving the ZK equation. It was found that two types of quantum acoustic modes, a slow acoustic mode and a rapid acoustic mode, may propagate.…”