Envelope solitons in three-component degenerate relativistic quantum plasmas

Abstract

The criteria for the formation of envelope solitons and their basic features in a three-component degenerate relativistic quantum plasma (DRQP) system (containing relativistically degenerate electrons, non-degenerate inertial light nuclei, and stationary heavy nuclei) are theoretically investigated. The nonlinear Schrödinger equation is derived by employing the multi-scale perturbation technique. The envelope solitons are found to be associated with the modified ion-acoustic waves in which the inertia (restoring force) is provided by the mass density of light nuclei (degenerate pressure of cold electrons). The basic features of these envelope solitons, which are found to formed in such a DRQP system, and their modulational instability criteria (on the basis of the plasma parameters associated with the degenerate pressure of electrons, number densities of degenerate electrons, inertial light nuclei, and stationary heavy nuclei) are identified. The numerical simulations are also performed to confirm the stability of the envelope solitons predicted here by analytical analysis.

Electrostatic Ion-Acoustic Shock Waves in a Magnetized Degenerate Quantum Plasma

“…It is believed that the components of the DQPS are electrons, positively charged heavy ions (e.g., 56 26 Fe [4], 85 37 Rb [5], 96 42 Mo [5]), and positively charged light ions (e.g., 1 1 H [6,7], 4 2 He [8], 12 6 C [9,10]). A number of authors investigated nonlinear waves in DQPS with positively charged heavy and light ions and electrons [11][12][13][14]. The characteristics of DQPS are comprehensively governed by the number density of the plasma species of DQPS, and it has been observed that the electron number density in white dwarfs is in the order of 10 30 cm −3 to 10 39 cm −3 , and even more in neutron stars [9,10].…”

“…for the ultra-relativistic limit [13,14]. The degenerate pressure only depends on the number density of the plasma species but not on their temperature [13,14].…”

“…for the ultra-relativistic limit [13,14]. The degenerate pressure only depends on the number density of the plasma species but not on their temperature [13,14]. For the stable configuration of the DQPS, the outward directional degenerate pressure is counter-balanced by the inward gravitational pressure.…”

Numerical simulations and bifurcation analysis of monotonic and oscillatory magnetosonic shock waves in a spin 1/2 degenerate quantum plasma

“…Whilst, Alfvén waves (AWs), which are lowfrequency electromagnetic waves, propagate along the direction of the magnetic field. Over several years, the significant characteristics of degenerate quantum plasmas encouraged investigators to examine the propagation of nonlinear waves in different configurations [2][3][4][5][6][7][8][9]. For degenerate quantum plasmas, the de Broglie thermal wavelength of the quantum charged particles is comparable to the characteristic spatial scales of the system.…”

Self-gravitating Envelope Solitons in Astrophysical Objects

“…Chowdhury et al [19] have reported that the MI of nucleus-acoustic waves (NAWs) in a DQP system and found that the MI growth rate of the unstable NAWs is significantly modified by the number density of nucleus species. Islam et al [20] have studied envelope solitons in three component DQP. However to the best of our knowledge, no attempt has been made to study MI of the IAWs in SG-DQPS.…”