Magnetoacoustic solitary waves in pair ion–electron plasmas

Abstract

The nonlinear properties of magnetoacoustic solitary waves (MASWs) are investigated in magnetized pair ion-electron (PIE) plasmas. The three-fluid collisionless electromagnetic model is considered and the reductive perturbation method is employed to derive the Korteweg-de Vries equation for MASWs in PIE plasmas. It is found that the system under consideration admits compressive solitary structures. The effects of magnetic field intensity, plasma number density and negative ions concentration on MASWs are studied. This study may have relevance to nonlinear wave formation and the propagation of pair ion plasmas containing impurities.

Dust‐ion‐acoustic solitary waves in a magnetized dusty pair‐ion plasma with Cairns‐Gurevich electrons and opposite polarity dust particles

“…One can reduce Equation 19 to an ordinary differential equation by integrating it with respect to the variable by neglecting the integration constant:…”

“…[3,[7][8][9][10][11][12][13] For instance, Oohara et al [3] have experimentally investigated the characteristics of electrostatic modes that propagate parallel to the external lines of a magnetic field. [18] Recently, Shisen et al, [19] by deriving the KdV equation in magnetized pair e-i plasma, investigated the nonlinear characteristics of magnetoacoustic solitary waves. The last case is a rare phenomenon and never happens in typical electron-ion (e-i) plasmas.…”

“…El-Shamy demonstrated the impacts of the positive to negative ion temperature ratio, the concentration of charged dust impurities, and the external magnetic field on the solitary wave collision of two ion thermal waves in a PI magnetized dusty plasma in which dusts have been assumed to be a fraction of stationary charged grain impurities. [18] Recently, Shisen et al, [19] by deriving the KdV equation in magnetized pair e-i plasma, investigated the nonlinear characteristics of magnetoacoustic solitary waves. They have considered three electromagnetic modes and studied the impacts of plasma number density, negative ion concentration, and magnetic field intensity on magnetoacoustic solitary waves.…”

Some unexplored features of the nonlinear compressive magnetoacoustic Alfvénic waves

“…This is not surprising in view of the fact that such waves are expected in various environments in the laboratory, space and astrophysical plasmas. The theory of such waves can be traced as far back as to 1958 [1], and it can be seen in many studies ever since [2]- [27].…”

“…In the papers [1]- [27] electromagnetic perturbations propagating perpendicular to the magnetic field are assumed to be purely compressible (i.e., having the perturbed magnetic field component only along the ambient magnetic field vector). Within the linear theory, such purely compressive magnetic perturbations indeed follow from the geometry of the mode, and this holds without any assumption.…”