Ion acoustic solitary waves in magneto-rotating plasmas

Abstract

Propagation of an ion acoustic wave (IAW) in a magnetized electron-ion plasma, which is rotating around an axis at an angle θ with the direction of magnetic field, is studied by incorporating the effects of trapped and untrapped electron distributions. Employing the perturbation scheme, Korteweg-deVries and Schamel's modified KdV equations are derived for the small angle θ which may support the nonlinear IAW on a slow time scale of ion motion. The amplitude and width of the solitary wave in both cases (trapped and untrapped electrons) have been discussed with the effects of oblique rotation and external magnetic field. It is shown that the nonlinear effects considerably influence the propagation of waves in rotating plasmas.

The Effect of Spectral Index Parameter κ on Obliquely Propagating Solitary Wave Structures in Magneto-Rotating Plasmas

“…The study of rotating plasmas is important due to their applicability in astrophysics and fusion devices. [23−25] Mushtaq [26] studied the solitary wave structures in magnetized electron ion rotating plasma in the presence of untrapped and trapped electrons. The author derived the Korteweg-de Vries (KdV) and Schamel's modified KdV (SkdV) equations by using the reductive perturbation method, and showed that the angle 𝜃 of plasma rotation plays a weak role in the nonlinear part and is significant in the dispersion part of the soliton.…”

Spin density polarization effects in the presence of Coriolis force on ion acoustic waves in quantum plasma

“…This confining of the wave results leads to a decrease in the wave energy due to reflection of ions from the electrostatic field generated inside the plasma. [ 9 ] This loss of energy may be due to conversion into luminous energy. [ 4 ] The direction cosine l x has impact on the nonlinear and dispersive properties of solitary structure.…”

“…The rotation is considered slow such that quadratic and higher terms may be neglected. [9] The electrons obey Fermi Dirac distributions owing to the fact that Fermi temperature of electrons is larger than thermal temperature, that is, T Fe ≫ T.…”

“…By putting the above perturbation scheme in the Equations (5)(6)(7)(8)(9)(10)(11) and collecting the lowest order of , we obtain the following relations: The lowest order, that is, (∼ ϵ 3 2 ) of continuity equation gives the following relation between v (1) iz and n (1)…”

“…[ 8 ] Ion acoustic solitary waves in rotating plasmas in the presence of trapped and untrapped electrons have been studied and it was shown that the transverse part of rotation has effect (lesser in magnitude) on the amplitude and the longitudinal part has influence (significant in magnitude) on the dispersion of soliton. [ 9 ] Different features of solitary structures in dusty plasmas under the influence of Coriolis force also have been investigated. It was shown that when propagation angle with the rotation axis attains a critical value, wave equation fails to represent soliton dynamics.…”