Obliquely propagating ion-acoustic double layers in a multicomponent magnetized plasma

Abstract

Considering the appropriate coordinate transformation and charge separation effect, the reductive perturbation method is used to derive a mKdV equation for a multi-component magnetized plasma having two Maxwellian electron distributions and two warm adiabatic ion distributions. The double layer solution of the mKdV equation is discussed in detail. It is found that the width of the double layer increases as we increase the obliqueness 6, where 6 is the angle between wave vector and magnetic field, while the effect of obliqueness on the amplitude of the double layer is negligible. The effect of finite ion temperature is to increase (decrease) the amplitude of compressive (rarefactive) double layer and decrease (increase) its width. The effect of the concentration of second ion impurity, concentration and the temperature ratios of two electron species on the amplitude and width of the double layer is also studied.

Ion acoustic solitons of KdV and modified KdV equations in weakly relativistic plasma containing nonthermal electron, positron and warm ion

“…which have solitary or solitonic solutions. Using the reductive perturbation technique, ion-acoustic solitons have been studied by the numbers of authors (Bharuthram and Shukla 1986;Yadav and Sharma 1991). In contrast to the usual plasmas that consisting of electrons and positive ions, it has been observed that the nonlinear waves in plasmas which containing additional components such as positrons behave differently (Rizzato 1988).…”

Solitary and double-layer structures in quantum bi-ion plasma

“…Ion acoustic solitary waves (IASWs), as one of the most important nonlinear excitations in plasma physics, have been studied by a number of authors in various models of plasma physics in the last few decades [2,3,8,23,30,40,78,82,86]. They arise due to a delicate balance between the dispersive and nonlinear properties of the medium.…”

“…The IA solitons have been observed experimentally by Ikezi et al [23] (also see Refs. [3,8,86]). The IA waves are highly Landau damped unless one considers the case T i ( T e [2].…”

“…Properties of IA waves may be useful to explain and understand the wave characteristics observed in the Earth's ionosphere [44,70,71], interplanetary space [12] and transport phenomena in the solar wind, corona, and chromospheres [50]. Formation of IA solitons [1,10,16,23,54,56,57,60,63,78], double layers or shocks [8,12,59,79,80,86] in plasma have been studied by a number of authors.…”

Ion acoustic solitary waves in a weakly relativistic plasma with q-nonextensive electrons and thermal positrons

“…A great number of authors have been studied ion-acoustic solitary waves using the reductive perturbation technique in different plasmas (Bharuthram and Shukla 1986;Yadav and Sharma 1991). In contrast to the usual plasmas that consisting of electrons and positive ions, it has been observed that the nonlinear waves in plasmas which containing additional components such as positrons have different characters (Rizzato 1988).…”