Overtaking Collisions of Ion Acoustic N-Shocks in a Collisionless Plasma with Pair-Ion and (α,q) Distribution Function for Electrons

Abstract

In this work, the effects of plasma parameters on overtaking collisions of ion acoustic multi-shocks are studied in an unmagnetized collisionless plasma with positive and negative ions, and (α,q)-distributed electrons. To investigate such phenomena, the reductive perturbation technique is implemented to derive the Burgers equation. The N-shock wave solution is determined for this equation by directly implementing the exponential function. The result reveals that both the amplitudes and thicknesses of overtaking collisions of N-shock wave compressive and rarefactive electrostatic potential are significantly modified with the influences of viscosity coefficients of positive and negative ions. In addition, the density ratios also play an essential role to the formation of overtaking collisions of N-shocks. It is observed from all theoretical and parametric investigations that the outcomes may be very useful in understanding the dynamical behavior of overtaking collisions of multi-shocks in various environments, especially the D- and F-regions of the Earth’s ionosphere and the future experimental investigations in Q-machine laboratory plasmas.

Collisional positron acoustic soliton and double layer in an unmagnetized plasma having multi-species

“…In overtaking collision, the angle between the interacting waves is also zero. Very recently, Hafez et al 36 have reported overtaking collision of traveling wave by formulating the multi-solutions of the Burgers equation. They have clearly mentioned in their findings that the overtaking wave phenomena are propagating in the same direction.…”

An unmagnetized strongly coupled plasma: heavy ion acoustic shock wave excitations

“…To obtain the correct stationary shock wave solution, equation ( 27) is converted by considering ψ (1) (ξ,…”

“…Now-a-days, researchers have been dedicated their efforts to the study of linear and nonlinear wave propagation in multi-ions plasmas. The endurance of such plasma is now confirmed in both space and astrophysical environments (SAEs) as well as in plasma laboratory (PL) [1][2][3][4][5][6][7][8]. In many SAEs, particularly, in the Earths ionosphere and magnetosphere, bow shock in front of the magnetopause boundary layers, cometary comae, solar wind, etc., the plasma system contains both positive, and negative ions species along with electrons.…”

“…It does not reflect the actual effect of the viscosity coefficient on the SWEs. Whereas, References [1,39] have clearly been shown that one should not use the stretching of kinematic viscosity coefficient parameters. As a result, one can derive the BE, mBE, and mmBE by considering the valid stretching to study the SWEs in the plasmas.…”

Dust‐ion‐acoustic shock wave excitations at super‐critical points with quartic nonlinearity

“…Also, a great deal of focus is still now to be paid for the investigation of acoustic waves in dusty multi-ion plasmas by astrophysics experts. Because both ASPSs [12][13][14][15][16] and plasma laboratories [17][18][19] have now successfully verified the existence of multi-ions, specifically positive ions (PIs) and negative ions (NIs). In many plasma environments, such as the Earth's ionosphere and cometary comae, the plasma is produced by a combination of PIs and NIs in response to electrons.…”