Nonlinear Dust Acoustic Waves in Dissipative Space Dusty Plasmas with Superthermal Electrons and Nonextensive Ions

Abstract

The nonlinear characteristics of the dust acoustic (DA) waves are studied in a homogeneous, collisionless, unmagnetized, and dissipative dusty plasma composed of negatively charged dusty grains, superthermal electrons, and nonextensive ions. Sagdeev pseudopotential technique has been employed to study the large amplitude DA waves. It (Sagdeev pseudopotential) has an evidence for the existence of compressive and rarefractive solitons. The global features of the phase portrait are investigated to understand the possible types of solutions of the Sagdeev form. On the other hand, the reductive perturbation technique has been used to study small amplitude DA waves and yields the Korteweg-de Vries-Burgers (KdV-Burgers) equation that exhibits both soliton and shock waves. The behavior of the obtained results of both large and small amplitude is investigated graphically in terms of the plasma parameters like dust kinematic viscosity, superthermal and nonextensive parameters.

Effects of double spectral electron distribution and polarization force on dust acoustic waves in a negative dusty plasma

“…The RPT is used to obtain a KdVB equation. The numerical values of all the plasma parameters, used in the following numerical illustration, are chosen as follows [ 51,53 ] : σ i = 0.375, μ e = 1.33, μ i = 2.33, n io = 7 × 10 7 cm −3 and n eo = 4 × 10 7 . The variation of the potential function V ( ϕ 1 ) with ϕ 1 with different values of the polarization parameter R is investigated in Figure 1.…”

“…This equation represents a monotonic shock wave solution. [51] On the other hand, Considering the following boundary conditions [51,52] as…”

“…On the other hand, Considering the following boundary conditions [ 51,52 ] as …”

“…If N 2 ≪ 4 uG , the oscillatory shock wave solution [ 51 ] is given by where ϕ 0 is an arbitrary constant.…”

Ion-acoustic shock waves in a magnetized plasma featuring super-thermal distribution

“…The energy dissipation of the electrostatic wave, which is governed by the Burgers' equation [30], may arise due to the kinematic viscosity of the medium [31,32,33]. Abdelwahed et al [31] analyzed IASHWs in a PIP, and found that the steepness of the shock potential decreases with increasing ion viscosity.…”