Interaction of dust ion acoustic solitons with cubic nonlinearity in a magnetized dusty plasma with () distributed electrons

Journal of Low Frequency Noise, Vibration and Active Control

Saba

et al. 2023

Self Cite

The characteristics of (non)linear dust-ion acoustic waves (DIAWs) in a collisionless, magnetized dusty plasma are investigated. The current model is composed of ( r, q)-distributed electrons along with warm ions and stationary dust grains with negative charge. Both linear and nonlinear waves are considered to progress in x- z plane. The properties of linear waves are studied by deriving the dispersion relation for the plasma parameters of Saturn’s magnetosphere. The fluid equations of the current model are reduced to the universal Korteweg-de Vries (KdV) equation in order to study the characteristics of oblique propagation of DIA solitary waves (DIASWs). The critical point at which the nature/polarity of solitons changes is determined precisely. The influence of various plasma parameters, namely, obliqueness, magnetic field, densities, temperatures, and double spectral indices of the ( r, q)-distributed electrons on DIASWs is investigated for Saturn’s magnetosphere. The DIASWs of ( r, q)-distributed electrons are also compared with Maxwellian electrons. This work would be helpful to study other astrophysical and laboratory plasma systems where dusty plasmas and ( r, q) distribution are predicted.

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the oblique electrostatic waves in a dusty plasma with non-Maxwellian electrons for Saturn’s magnetosphere

Shumaila

Journal of Low Frequency Noise, Vibration and Active Control

Saba

et al. 2023

Self Cite

“…investigated the ion acoustic solitons and periodic structures in upper ionospheric plasmas [29]. The interaction of DIASWs has been studied for Saturn's rings with (r; q) distributed electrons with cubic nonlinearity to investigate the in ‡uence of spectral indices on interaction regime [30].…”

Section: Introductionmentioning

confidence: 99%

Oblique electrostatic waves in a dusty plasma with (r; q) distributed electrons for Saturn’s magnetosphere

shumaila

Saba

2022

Preprint

The linear and nonlinear propagation characteristics of dust ion acoustic waves (DIAWs) are investigated in a collisionless, magnetized dusty plasma. The system is composed of (r; q) distributed electrons with warm ions and stationary dust and propagation of the wave is taken in the x-z plane. The linear properties of the system are studied for the plasma parameters of Saturn magnetosphere are studied by the dispersion relation. The characteristics of oblique propagation of dust ion acoustic solitary waves (DIASWs) are studied by deriving Korteweg de Vries (KdV) equation and the critical point is determined at which the nature of solitons changes. The infuence of various parameters, namely, obliqueness, magnetic field, densities, temperatures, and spectral indices of the (r; q) distributed electrons on DIASWs is investigated for Saturn’s magnetosphere. The DIASWs of (r; q) distributed electrons are also compared with Maxwellian electrons. The present work might be helpful to study other astrophysical and space systems where dusty plasmas and (r; q) distribution are predicted.

“…Since then, the effects of double spectral index (r, q) on the linear and nonlinear propagation of plasma waves have been investigated by a few researchers. Since the successful explanation of terrestrial lion roars employing (r, q) distribution by Qureshi et al (2014), there has been a substantial literature that highlights importance of using double index (r, q) distribution to explain numerous features observed in space plasmas and also the theoretical exploration of the effects of low and high energy electrons in the distribution function on the linear and nonlinear propagation of waves in plasmas (Shah et al, 2018;Qureshi et al, 2019;Khalid et al, 2020;Naeem et al, 2020;Ullah et al, 2020;Ali et al, 2021;El-Taibany et al, 2021;Shohaib et al, 2021;Masood et al, 2022;Shohaib et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

Interaction of electron acoustic solitons in auroral region for an electron beam plasma system

Front. Astron. Space Sci.

Masood

Rizvi

2022

The propagation of linear and nonlinear electron acoustic waves (EAWs) in an unmagnetized plasma, comprising dynamical inertial electrons, hot (r, q) distributed electrons, warm electron beam, and immobile ions is studied. The linear dispersion relation is investigated for varying beam velocity. The Korteweg-de Vries (KdV) equation for EAWs is derived in the small amplitude limit. Depending on the beam density, temperature and velocity, we get a critical condition for which the quadratic nonlinearity vanishes from the plasma system. For such a condition, the modified Korteweg de Vries (mKdV) equation, with cubic nonlinearity, is derived, which admits both negative and positive potential solitary structures. It is noted that the spectral indices r and q of the generalized (r, q) distribution, the concentration of the cold, hot and the beam electrons, and the temperature ratios, significantly affect the fundamental properties of the propagation and interaction of electron acoustic solitary waves (EASWs). The types of possible overtaking interaction of two mKdV solitons are investigated. The spatial regime for the two soliton interaction is found to vary in accordance with the variation of single soliton for various plasma parameters. The results of present study may be beneficial to comprehend the interaction between two EASWs in laboratory, space and astrophysical plasmas.