Abstract
Electrostatic solitons in an unmagnetized pair-ion plasma comprising adiabatic fluid positive and negative ions and non-isothermal electrons are investigated using both arbitrary and small amplitude techniques. An energy integral equation involving the Sagdeev potential is derived, and the basic properties of large amplitude solitary structures are investigated. Various features of solitons differ in different existence domains. The effects of ion adiabaticity, particle concentration, and resonant electrons on the profiles of Sagdeev potential and corresponding solitary waves are investigated. The generalized Korteweg-de Vries equation with mixed-nonlinearity is derived by expanding the Sagdeev potential. Asymptotic solutions for different orders of nonlinearity are discussed for solitary waves. The present work is applicable to understanding the wave phenomena and associated nonlinear electrostatic perturbations in pair/bi-ion plasmas which may occur in space and laboratory plasmas.
Highlights
In the typical geometric arrangement, 60 carbon atoms form a fullerene molecule
We have studied the effects of PI temperature adiabaticity, particle density concentration, and nonlinear resonant particle effects, such as trapping of electrons, on the arbitrary amplitude of ion acoustic (IA) solitons in PI-electron plasmas
In the case of negative ions, we have shown that the model supports both positive and negative potential solitons, where the Mach number for positive potential solitons is limited from above by the condition at which the positive ion density becomes complex
Summary
In the typical geometric arrangement, 60 carbon atoms form a fullerene molecule. Recently, Oohara and collaborators generated a very dense pair-ion (PI) fullerene C6±0 plasma consisting of ions having equal masses and opposite charges [1, 2]. Some authors [20] have studied the ion-acoustic solitons in a plasma composed of warm positive and negative ions with different concentration of masses, charged states, and nonisothermal electrons, by using quasipotential method. Dust ion acoustic solitons in an unmagnetized pair-ion plasmas with adiabatic pair-ions, non-isothermal electrons, and negatively charged background dust were studied by Mushtaq et al [21] by using both the small and arbitrary amplitude techniques. They have derived the integral equation involving the Sagdeev potential and Schamel-Korteweg-de Vries (S-KdV) equation with mixed-nonlinearity.
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