Cylindrical and spherical electron-acoustic Gardner solitons and double layers in a two-electron-temperature plasma with nonthermal ions

Abstract

Cylindrical and spherical Gardner solitons (GSs) and double layers (DLs) in a two electron temperature plasma system (containing cold electrons, hot electrons obeying a Boltzmann distribution, and hot ions obeying a nonthermal distribution) are studied by employing the reductive perturbation method. The modi fied Gardner equation describing the nonlinear propagation of the electron acoustic (EA) waves is derived, and its nonplanar GS and DL solutions are numerically analyzed. The parametric regimes for the existence of GSs, which are associated with both positive and negative potential, and DLs which are associated with positive potential, are obtained. The basic features of nonplanar EA GSs, and DLs, which are found to be dif ferent from planar ones, are also identified. The implications of our results in space and laboratory plasmas are briefly discussed.

High and low frequency instabilities driven by a single electron beam in two-electron temperature space plasmas

“…Before proceeding, we wish to point out that two-electron temperature plasmas have also been widely used to study nonlinear wave phenomena, e.g., ion-acoustic solitons 25,26 and double layers, 27 dustacoustic solitary waves, 28 and electron-acoustic solitons and double layers. 29 Our paper is presented as follows: in Sec. II we present a theoretical model together with the approximate results for the high frequency electron-acoustic instability, in Sec.…”

Shock waves and double layers in electron degenerate dense plasma with viscous ion fluids

“…One can find that A ¼ 0 at its critical value l ¼ ðlÞ c ' 2=3 (which is a solution of A ¼ 0). 58,59 So, for l around its critical value l c , A ¼ A 0 can be expressed as…”

New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities

“…Abdelwahed et al [10] inspected the modulation of characteristics of EAs in non-isothermal electron plasmas [13] using a time-fractional modified non-linear equation. Pakzad studied [14] cylindrical EAs by hot non-extensive electrons, and found through numerical simulations that the spherical amplitude is greater than the cylindrical in EAs. Non-thermal critical geometrical EA plasmas were studied using a Gardner-type equation in Shuchy et al [15].…”