New analytical solution for an ion-acoustic soliton in a two-ion plasma

Abstract

A new analytical solution is obtained for an ion-acoustic soliton, which is much closer to the exact solution than the Korteweg–de Vries (KdV) solution. The case of a two-ion plasma is considered in detail, and the results are compared with those of the dressed soliton solution. The effect of multiple ionization of the ion species is also discussed.

Parametric decay of a whistler wave at the difference frequency of two electromagnetic waves in a plasma

“…In this paper ion heating in connection with parametric decay at the beat frequency has been discussed and explained analytically as heating by parametrically excited low-frequency ion-Bernstein waves (Tripathi & Sharma 1988) in a multi-ion-species plasma (Dash, Sharma & Buti 1984;Sharma, Yashvir & Bhatnagar 1986;Milic & Krstic 1987). It has been found that the growth rate can be controlled by several parameters, such as the mass, density and temperature of two ion species.…”

“…In spite of the low system efficiency, ionospheric experiments detect signals at comparable levels. The beating of two high-frequency electromagnetic waves gives rise to the radiation of a whistler at a frequency 6-28 x 10 5 rad s * (Shoucri et al 1982). Taking parameters typical of the auroral ionosphere,…”

“…Naturally occurring atmospheric lightning radiates a broad spectrum of electromagnetic waves (Martelli, Giles & Christiansen 1974;Shoucri, Morales & Maggs 1982). In principle ionospheric discharges and high-frequency acoustic waves can trigger secondary radiation of whistler waves by the mechanism of beating of two high-frequency electromagnetic waves.…”

“…In ionospheric experiments the part of the radiated whistler wave that is earthbound undergoes damping due to collisions while travelling through the ionospheric D region. Under favourable conditions, the signal may be detected at magnetically conjugate points or by orbiting satellites (Shoucri et al 1982).…”