scholarly journals Effect of Space Fractional Parameter on Nonlinear Ion Acoustic Shock Wave Excitation in an Unmagnetized Relativistic Plasma

2022 ◽  
Vol 9 ◽  
Author(s):  
M.F. Uddin ◽  
M.G. Hafez ◽  
Inho Hwang ◽  
Choonkil Park
Keyword(s):  
Shock Wave ◽  
Fluid Model ◽  
Reductive Perturbation Method ◽  
Relativistic Plasma ◽  
Polar Regions ◽  
Viscous Effects ◽  
Plasma Parameters ◽  
Ion Acoustic ◽  
Acoustic Shock Wave ◽  
Space Environments

In this work, the model equation with space fractional-order (FO) is used to investigate the nonlinear ion acoustic shock wave excitations (NIASWEs) in an unmagnetized collisionless weakly relativistic plasma having inertial relativistic ions fluid with viscous effects, inertial-less non-thermal electrons and inertial-less Boltzmann positrons. To do it, the Korteweg-de Vries Burgers equation (KdVBE) is derived from the considered fluid model equations by implementing the standard reductive perturbation method. Accordingly, such equation is converted to space fractional KdVBE via Agrawal’s variational principle with the help of the beta fractional derivative and its properties. The exact analytical solutions of KdVBE with space FO are determined via the modified Kudryashov method. The influence of space fractional and other related plasma parameters on NIASWEs are investigated. The outcomes would be useful to understand the nature of shocks with the presence of non-local or local space in many astrophysical and space environments (especially in the relativistic wind of pulsar magnetosphere, polar regions of neutron stars, etc.) and further laboratory verification.

scholarly journals Nonlinear Waveforms for Ion-Acoustic Waves in Weakly Relativistic Plasma of Warm Ion-Fluid and Isothermal Electrons

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
S. A. El-Wakil ◽  
Essam M. Abulwafa ◽  
E. K. El-Shewy ◽  
H. G. Abdelwahed ◽  
Hamdi M. Abd-El-Hamid
Keyword(s):  
Acoustic Waves ◽  
Kdv Equation ◽  
Algebraic Method ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Relativistic Plasma ◽  
Plasma Parameters ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Weakly Relativistic Plasma

The reductive perturbation method has been employed to derive the Korteweg-de Vries (KdV) equation for small- but finite-amplitude electrostatic ion-acoustic waves in weakly relativistic plasma consisting of warm ions and isothermal electrons. An algebraic method with computerized symbolic computation is applied in obtaining a series of exact solutions of the KdV equation. Numerical studies have been made using plasma parameters which reveal different solutions, that is, bell-shaped solitary pulses, rational pulses, and solutions with singularity at finite points, which called “blowup” solutions in addition to the propagation of an explosive pulses. The weakly relativistic effect is found to significantly change the basic properties (namely, the amplitude and the width) of the ion-acoustic waves. The result of the present investigation may be applicable to some plasma environments, such as ionosphere region.

scholarly journals Overtaking Collisions of Ion Acoustic N-Shocks in a Collisionless Plasma with Pair-Ion and (α,q) Distribution Function for Electrons

2020 ◽  
Vol 10 (17) ◽  
pp. 6115 ◽  
Author(s):  
Md. Golam Hafez ◽  
Parvin Akter ◽  
Samsul Ariffin Abdul Karim
Keyword(s):  
Shock Wave ◽  
Perturbation Technique ◽  
Dynamical Behavior ◽  
Collisionless Plasma ◽  
Negative Ions ◽  
Experimental Investigations ◽  
Plasma Parameters ◽  
Ion Acoustic ◽  
Shock Wave Solution ◽  
Density Ratios

In this work, the effects of plasma parameters on overtaking collisions of ion acoustic multi-shocks are studied in an unmagnetized collisionless plasma with positive and negative ions, and (α,q)-distributed electrons. To investigate such phenomena, the reductive perturbation technique is implemented to derive the Burgers equation. The N-shock wave solution is determined for this equation by directly implementing the exponential function. The result reveals that both the amplitudes and thicknesses of overtaking collisions of N-shock wave compressive and rarefactive electrostatic potential are significantly modified with the influences of viscosity coefficients of positive and negative ions. In addition, the density ratios also play an essential role to the formation of overtaking collisions of N-shocks. It is observed from all theoretical and parametric investigations that the outcomes may be very useful in understanding the dynamical behavior of overtaking collisions of multi-shocks in various environments, especially the D- and F-regions of the Earth’s ionosphere and the future experimental investigations in Q-machine laboratory plasmas.

The effect of trapped electrons on the three-dimensional ion-acoustic shock wave in magnetized ionic-pair plasma

2016 ◽  
Vol 114 (2) ◽  
pp. 25002 ◽  
Author(s):  
Shimin Guo ◽  
Liquan Mei ◽  
Ya-Ling He ◽  
Huaqi Guo ◽  
Yanjun Zhao
Keyword(s):  
Shock Wave ◽  
Three Dimensional ◽  
Ionic Pair ◽  
Trapped Electrons ◽  
Pair Plasma ◽  
Ion Acoustic ◽  
Acoustic Shock Wave

Dust ion-acoustic shock-wave structures: Theory and laboratory experiments

JETP Letters ◽  
2001 ◽  
Vol 74 (7) ◽  
pp. 362-366 ◽  
Author(s):  
S. I. Popel ◽  
A. P. Golub’ ◽  
T. V. Losseva
Keyword(s):  
Shock Wave ◽  
Laboratory Experiments ◽  
Shock Wave Structures ◽  
Ion Acoustic ◽  
Acoustic Shock Wave

Observation of ion-acoustic shock wave transition due to enhanced Landau damping

2008 ◽  
Vol 15 (5) ◽  
pp. 052311 ◽  
Author(s):  
H. Bailung ◽  
Y. Nakamura ◽  
Y. Saitou
Keyword(s):  
Shock Wave ◽  
Landau Damping ◽  
Ion Acoustic ◽  
Acoustic Shock Wave

Nonlinear dust ion acoustic shock wave structures in solar F corona region

2020 ◽  
Vol 27 (12) ◽  
pp. 122901
Author(s):  
Birbaishri Boro ◽  
Apul N. Dev ◽  
Bipul K. Saikia ◽  
Nirab C. Adhikary
Keyword(s):  
Shock Wave ◽  
Shock Wave Structures ◽  
Ion Acoustic ◽  
Acoustic Shock Wave

Ion-Acoustic Cnoidal Waves with the Density Effect of Spin-up and Spin-down Degenerate Electrons in a Dense Astrophysical Plasma

2020 ◽  
Vol 75 (2) ◽  
pp. 103-111 ◽  
Author(s):  
Nimardeep Kaur ◽  
Rupinder Kaur ◽  
N. S. Saini
Keyword(s):  
Solitary Waves ◽  
Reductive Perturbation Method ◽  
Quantum Plasma ◽  
Plasma Parameters ◽  
Separate Species ◽  
Cnoidal Waves ◽  
Ion Acoustic ◽  
Characteristic Features ◽  
Pseudopotential Approach ◽  
Limiting Case

AbstractAn investigation of nonlinear ion acoustic (IA) cnoidal waves in a magnetised quantum plasma is presented by using spin evolution quantum hydrodynamics model, in which inertial classical ions and degenerate inertialess electrons with both spin-up and spin-down states taken as separate species are considered. The Korteweg–de Vries equation is derived using the reductive perturbation method. Further, using the Sagdeev pseudopotential approach, the solution for IA cnoidal waves is derived with suitable boundary conditions. There is the formation of only positive potential cnoidal, and in the limiting case, positive solitary waves are observed. The effects of density polarisation and other plasma parameters on the characteristic features of cnoidal and solitary waves have been analysed numerically. It is seen that the spin density polarisation significantly affects the characteristics of cnoidal structures as we move from strongly spin-polarised (μ = 1) to a zero spin-polarisation case (μ = 0). The results obtained in the present investigation may be useful in comprehending various nonlinear excitations in dense astrophysical regions, such as white dwarfs, neutron stars, and so on.

Ion acoustic shock wave in collisional equal mass plasma

2015 ◽  
Vol 22 (10) ◽  
pp. 102307 ◽  
Author(s):  
Ashish Adak ◽  
Samiran Ghosh ◽  
Nikhil Chakrabarti
Keyword(s):  
Shock Wave ◽  
Equal Mass ◽  
Ion Acoustic ◽  
Acoustic Shock Wave
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