Higher-order corrections to ion acoustic waves in degenerate electron-positron-ion plasmas

Abstract

The nonlinear propagation of ion acoustic waves in ideal plasmas consisting of degenerate electrons and positrons, and isothermal ions is investigated. The Korteweg de Vries (K-dV) equation that contains the lowest order nonlinearity and dispersion is derived from the lowest order of perturbation and a linear inhomogeneous (K-dV type) equation that accounts for the higher order nonlinearity and the dispersion relation is obtained. The stationary wave solution for these equations has been found using the renormalization method. Also, the effects of electrons and positrons densities and ion temperature on the amplitude and width of solitary waves are investigated, numerically. It is seen that higher order corrections significantly change the properties of the K-dV solitons. Also, it is found that both compressive and rarefactive solitary waves can be propagated in such plasma system.

Freak waves and electrostatic wavepacket modulation in a quantum electron–positron–ion plasma

“…A few comments are in order, regarding the dispersion relation (24). First of all, we note that, taking into account (18), (24) takes the form…”

“…Recently, a lot of attention has been paid to the physics of electron-positron-ion quantum plasmas. In [23], the ionacoustic soliton formation in relativistic degenerate electronpositron-ion (e-p-i) plasma was investigated, with higher order nonlinear effects taken into account in [24]. A fully relativistic equation of state was assumed in [25].…”

Nucleus-acoustic envelope solitons and their modulational instability in a degenerate quantum plasma system

“…A number of works (Hasan, 2016;Masood & Eliasso, 2011;Rahman et al, 2013;Hossen et al, 2014;Moghanjoughi, 2010; have been done by considering the degenerate electron-positron-ion plasma. Mehdipoor and Esfandyari-Kalejahi (Mehdipoor & Esfandyari-Kalejahi, 2012) studied the ion acoustic waves in a plasmas system consisting of degenerate electrons, positrons, and isothermal ions. They found that higher order corrections significantly change the properties of the Korteweg-de Vries solitons, and that under certain conditions, both compressive and rarefactive solitary waves exist in such a plasma system.…”

Nonlinear Electromagnetic Waves in a Degenerate Electron-Positron Plasma

“…To remove discrepancies between experimentally observed characteristics/space data of solitary wave solitons and theoretical predictions, various studies [44][45][46][47][48][49] have proved the necessity of including higher-order nonlinearity and dispersion in studying nonlinear plasma waves. The new soliton solutions are called "dressed solitons."…”

“…Later, Akbari-Moghanjoughi [48] examined the possibility of propagation of bright-and dark-type solitary excitations by incorporating the higher-nonlinearity terms. Recently, Mehdipoor and Esfandyari-Kalejahi [49] proved that the higher-order corrections significantly change the properties of the KdV solitons propagating in an EPI plasma. However, all of these studies are only concerned with the electrostatic solitary wave solutions.…”