The characteristics of ion acoustic shock waves in non-Maxwellian plasmas with (G′/G)-expansion method

Abstract

Korteweg-de-Vries-Burger (K-dVB) equation is derived for ion acoustic shock waves in electron-positronion plasmas. Electrons and positrons are considered superthermal and are effectively modeled by a kappa distribution in which ions are as cold fluid. The analytical traveling wave solutions of the K-dVB equation investigated, through the (G /G)-expansion method. These traveling wave solutions are expressed by hyperbolic function, trigonometric functions are rational functions. When the parameters are taken special values, the shock waves are derived from the traveling waves. It is observed that the amplitude ion acoustic shock waves increase as spectral index κ and kinematic viscosity η i,0 increases in which with increasing positron density β and electron temperature σ the shock amplitude decreases. Also, numerically the effect different parameters on the nonlinearity A and dispersive B terms and wave velocity V investigated.

Effect of ion temperature on modulational instability and envelope solitons of ion acoustic waves in nonthermal electron–positron–ion plasmas

“…The authors explained the fact that power law tails are a consequence of distant particle energization processes. Many researchers have discussed the nonlinear phenomena in plasmas in the presence of electrons, obeying kappa distribution and showed that the characteristics of the waves modifies, in the presence of superthermality parameter κ [57][58]. El-Awady et al [59] studied the ion acoustic solitons in a multi component plasma with kappa distributed particles.…”

Propagation properties of dissipative waves in non Maxwellian plasmas

“…32 It is observed that an increasing positron concentration decreases the amplitude of the waves. The characteristics of ion-acoustic shock waves in electron-positron-ion plasma were investigated in 33 where electrons and positrons were modeled by kappa distribution function. It is seen that the amplitude of ion-acoustic shock waves decreases as the positron density and electron temperature increases.…”

“…It is seen that the amplitude of ion-acoustic shock waves decreases as the positron density and electron temperature increases. 33 In addition, Shah et al 34 have investigated the effect of positron beam on the ion-acoustic shock wave in a plasma consisting of inertial ions and superthermal electrons and the positron beam. They have derived the spectral index of the superthermal electrons, and concentration of impinging positron beam have significant effects on both the amplitude and steepness of the ion-acoustic shock wave.…”

Dissipative ion‐acoustic waves in collisional electron‐positron‐ion plasmas with Kappa distribution

“…Especially, the propagation of shock waves in superthermal plasmas was studied by some researchers. [36][37][38][39] However, most theoretical investigations, some are cited above, are restricted to propagation of non-linear waves (solitons or shocks) in collisionless plasmas. The aim of this article is to investigate the non-linear dynamics of IAWs in a dissipative EPI plasma, whereas the dissipative effect in our plasma model was considered to be due to the collision between ions and neutral particles.…”