Korteweg–deVries–Burgers (KdVB) equation in a five component cometary plasma with kappa described electrons and ions

A rigorous theoretical investigation has been made on the nonlinear propagation of dust-ion-acoustic shock waves in a multi-component magnetized pair-ion plasma (PIP) having inertial warm positive and negative ions, inertialess non-thermal electrons and positrons, and static negatively charged massive dust grains. The Burgers’ equation is derived by employing the reductive perturbation method. The plasma model supports both positive and negative shock structures in the presence of static negatively charged massive dust grains. It is found that the steepness of both positive and negative shock profiles declines with the increase of ion kinematic viscosity without affecting the height, and the increment of negative (positive) ion mass in the PIP system declines (enhances) the amplitude of the shock profile. It is also observed that the increase in oblique angle raises the height of the positive shock profile, and the height of the positive shock wave increases with the number density of positron. The applications of the findings from the present investigation are briefly discussed.

show abstract

“…To derive Burgers' equation [45][46][47] for the DIASHWs propagating in a PIP, we first introduce the stretched co-ordinates [48,49] as…”

Section: Derivation Of Burgers' Equationmentioning

confidence: 99%

Electrostatic Shock Structures in a Magnetized Plasma Having Non-Thermal Particles

Jahan

Banik

Chowdhury

et al. 2022

Gases

View full text Add to dashboard Cite

show abstract

“…Thus, for a reasonable and an accurate modeling, a plasma system should at least contain five components. Michael et al [23] investigated a five-component of cometary plasma system, using the reductive perturbation method and ion-acoustic shocks were found to be existed. Most of dusty plasma in both space and laboratories are found to contain negative dust particles [24].…”

Section: Introductionmentioning

confidence: 99%

Formation of double-layers and super-solitons in a six-component cometary dusty plasma

et al. 2022

View full text Add to dashboard Cite

The formation and main features of the fully nonlinear structure in a six-component dusty plasma system have been investigated using Sagdeev potential approach. By means of pseudo-potential technique, the fluid equations describing the plasma system were diminished into a single nonlinear differential equation, called energy equation modified by presenting the parameters of addition plasma components. For certain values of the configurationally plasma parameters, our findings show that in addition to the solitary waves, double-layers and super-solitons exist and propagate in this plasma system. The main features of these waves have been studied by investigating the associated phase-portrait trajectories and potential curves as well and are found to be very sensitive to the variation of these parameters. The obtained results are mainly relevant to the cometary plasma and it may also provide better and helpful understanding of the nonlinear nature of space, astrophysical and cometary plasmas. Graphical abstract The formation and main features of the fully nonlinear structure in a six-component dusty plasma system have been investigated using Sagdeev potential approach. By means of pseudo-potential technique, the fluid equations describing the plasma system were diminished into a single nonlinear differential equation, called energy equation modified by presenting the parameters of addition plasma components. For certain values of the configurationally plasma parameters, our findings show that in addition to the solitary waves, double-layers and super-solitons exist and propagate in this plasma system. The main features of these waves have been studied by investigating the associated phase-portrait trajectories and potential curves as well and are found to be very sensitive to the variation of these parameters.

show abstract

“…The plasma of a comet is made of a pair of Oxygen ions (ion-pair), light ion (Hydrogen ion) and electrons with distinct temperatures. Manesh et al studied the propagation of ion (lighter and heavier) acoustic solitary waves for both magnetized and unmagnetized five components plasma system composed of Hydrogen ions, positively and negatively charged Oxygen ions, kappa described hot solar electrons, and slightly colder cometary electrons [8,16,17]. Thus, for the sake of accuracy, a well-defined plasma system describing a comet should contain five, at least, components.…”

Section: Introductionmentioning

confidence: 99%

A fully nonlinear solitary wave in six-component dusty cometary plasma

Bedeir¹,

Abulwafa²,

Elhanbaly³

et al. 2021

Phys. Scr.

View full text Add to dashboard Cite

The dynamics of fully nonlinear structure of six-component dusty cometary plasma system with the help of Sagdeev pseudo-potential techniques have been investigated. This plasma system is made up of Oxygen (positively and negatively charged) ion pair, negatively charged dust particles, and kappa distributed ions of Hydrogen, hot solar electrons and slightly colder cometary electrons. The linear analysis is carried out and the linear dispersion relation is obtained and investigated with some relevant plasma parameters. As a result, the velocities in the fluid equations are normalized to a general acoustic speed instead of the particular form of acoustic speed. Employing pseudo-potential approach, the basic equations of plasma system were reduced to a single nonlinear ordinary differential equation (energy-balance). By means of Sagdeev potential curves and bifurcation analysis of phase-portrait, the existence and propagation of nonlinear waves are examined. In addition to the periodic solution, it is shown that the localized negative and positive amplitude electrostatic pulses may (co-) exist and propagate in plasma system depending on the Mach number intervals. The impact of some intrinsic plasma parameters on the main features of the solitary wave electrostatic potential profile and the associated electrostatic field are extensively investigated. The results of this research are relevant to plasmas in both laboratory plasmas and exclusively in space plasmas as, comet tails, rings of giant planets, solar wind, interstellar clouds, etc.

show abstract

Korteweg–deVries–Burgers (KdVB) equation in a five component cometary plasma with kappa described electrons and ions

Cited by 18 publications

References 49 publications

Electrostatic Shock Structures in a Magnetized Plasma Having Non-Thermal Particles

Electrostatic Shock Structures in a Magnetized Plasma Having Non-Thermal Particles

Formation of double-layers and super-solitons in a six-component cometary dusty plasma

A fully nonlinear solitary wave in six-component dusty cometary plasma

Contact Info

Product

Resources

About