scholarly journals Study of small amplitude ion-acoustic solitary wave structures and amplitude modulation in e–p–i plasma with streaming ions

2018 ◽  
Vol 36 (1) ◽  
pp. 136-143 ◽  
Author(s):  
Jyotirmoy Goswami ◽  
Swarniv Chandra ◽  
B. Ghosh
Keyword(s):  
Small Amplitude ◽  
Perturbation Technique ◽  
Thermal Parameter ◽  
Plasma Parameters ◽  
Ion Density ◽  
Solitary Structures ◽  
Ion Acoustic ◽  
Non Linear ◽  
Component Plasma ◽  
Characteristic Features

AbstractBy using reductive perturbation technique we have studied the linear and non-linear properties of ion-acoustic solitary structures in a three-component plasma containing non-thermal electrons and Boltzmann positrons and a comparatively cold ion which has got a streaming motion. The Korteweg–de Vries equation has been obtained and the dependence of small amplitude solitary structures on various plasma parameters such as streaming velocity (v0), non-thermal parameter (β), reciprocal of electron temperature (χ), positron density (p), Mach number (M), and ion density (δ) have been studied. The possibility of formation of enveloping soliton and its characteristic features are further investigated by deriving the non-linear Schrödinger equation.

scholarly journals Study of ion-acoustic solitary wave structures in multi-component plasma containing positive and negative ions and q-exponential distributed electron beam

2017 ◽  
Vol 35 (4) ◽  
pp. 641-647 ◽  
Author(s):  
J. Sarkar ◽  
J. Goswami ◽  
S. Chandra ◽  
B. Ghosh
Keyword(s):  
Electron Beam ◽  
Solitary Wave ◽  
Small Amplitude ◽  
Dense Plasma ◽  
Perturbation Technique ◽  
Negative Ions ◽  
Negative Ion ◽  
Ion Acoustic ◽  
Component Plasma ◽  
Streaming Motion

AbstractUsing reductive perturbation technique, small-amplitude ion-acoustic solitary wave has been investigated in multi-component dense plasma, in which an electron beam propagates along the general streaming motion. The electrons in plasma have the q-exponential distribution. The positive and negative ions follow a regular Maxwellian distribution. It has been found that the positive and negative ion densities as well as the beam concentration have significant effect on the formation and properties of solitary structures. The streaming velocities of corresponding particles also have pronounced effect on the features of the solitons.

scholarly journals Modulational Instability of Ion-Acoustic Waves in Pair-Ion Plasma

Plasma ◽  
2021 ◽  
Vol 5 (1) ◽  
pp. 1-11
Author(s):  
Sharmin Jahan ◽  
Rubaiya Khondoker Shikha ◽  
Abdul Mannan ◽  
A A Mamun
Keyword(s):  
Acoustic Waves ◽  
Modulational Instability ◽  
Thermal Parameter ◽  
Reductive Perturbation Method ◽  
Unstable State ◽  
Plasma Parameters ◽  
Ion Acoustic Waves ◽  
Stable Domain ◽  
Ion Acoustic ◽  
Component Plasma

The modulational instability (MI) of ion-acoustic waves (IAWs) is examined theoretically in a four-component plasma system containing inertialess electrons featuring a non-thermal, non-extensive distribution, iso-thermal positrons, and positively as well as negatively charged inertial ions. In this connection, a non-linear Schrödinger equation (NLSE), which dominates the conditions for MI associated with IAWs, is obtained by using the reductive perturbation method. The numerical analysis of the NLSE reveals that the increment in non-thermality leads to a more unstable state, whereas the enhancement in non-extensivity introduces a less unstable state. It also signifies the bright (dark) ion-acoustic (IA) envelope solitons mode in the unstable (stable) domain. The conditions for MI and its growth rate in the unstable regime of the IAWs are vigorously modified by the different plasma parameters (viz., non-thermal, non-extensive q-distributed electron, iso-thermal positron, the ion charge state, the mass of the ion and positron, non-thermal parameter α, the temperature of electron and positron, etc.). Our findings may supplement and add to prior research in non-thermal, non-extensive electrons and iso-thermal positrons that can co-exist with positive as well as negative inertial ions.

Nonlinear ion acoustic excitations in relativistic degenerate, astrophysical electron–positron–ion plasmas

2013 ◽  
Vol 79 (5) ◽  
pp. 817-823 ◽  
Author(s):  
ATA-UR RAHMAN ◽  
S. ALI ◽  
A. MUSHTAQ ◽  
A. QAMAR
Keyword(s):  
Perturbation Technique ◽  
Collisionless Plasma ◽  
Plasma Parameters ◽  
Linear Dispersion ◽  
Electron Positron ◽  
Electrons And Positrons ◽  
Ion Acoustic ◽  
Astrophysical Objects ◽  
Collective Interactions ◽  
Acoustic Excitations

AbstractThe dynamics and propagation of ion acoustic (IA) waves are considered in an unmagnetized collisionless plasma, whose constituents are the relativistically degenerate electrons and positrons as well as the inertial cold ions. At a first step, a linear dispersion relation for IA waves is derived and analysed numerically. For nonlinear analysis, the reductive perturbation technique is used to derive a Korteweg–deVries equation, which admits a localized wave solution in the presence of relativistic degenerate electrons and positrons. It is shown that only compressive IA solitary waves can propagate, whose amplitude, width and phase velocity are significantly modified due to the positron concentration. The latter also strongly influences all the relativistic plasma parameters. Our present analysis is aimed to understand collective interactions in dense astrophysical objects, e.g. white dwarfs, where the lighter species electrons and positrons are taken as relativistically degenerate.

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.

Small amplitude ion-acoustic solitary waves in an adiabatic multi-component plasma

2012 ◽  
Vol 19 (2) ◽  
pp. 024509 ◽  
Author(s):  
F. Bencheriet ◽  
D. Alifedila ◽  
M. Djebli
Keyword(s):  
Solitary Waves ◽  
Small Amplitude ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Component Plasma

Modulational instability of ion-acoustic waves in fully relativistic two-component plasma

2015 ◽  
Vol 81 (3) ◽  
Author(s):  
B. Ghosh ◽  
S. Banerjee
Keyword(s):  
Growth Rate ◽  
Acoustic Waves ◽  
Relativistic Effect ◽  
Modulational Instability ◽  
Perturbation Technique ◽  
Multiple Scale ◽  
Nls Equation ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Component Plasma

Nonlinear amplitude modulation of ion-acoustic waves (IAWs) in a fully relativistic unmagnetized two-fluid plasma has been theoretically studied by using complete set of fully relativistic dynamic equations. To describe the nonlinear evolution of the wave envelope a nonlinear Schrödinger (NLS) equation is derived by using standard multiple scale perturbation technique. Using this equation it is shown that the wave becomes modulationally unstable as the wavenumber exceeds certain critical value. This critical wavenumber is found to decrease with increase in relativistic effect. The instability growth rate has also been calculated numerically for different values of plasma drift velocity. The growth rate is shown to decrease with increase in the relativistic effect.

Bifurcation Analysis for Small-Amplitude Nonlinear and Supernonlinear Ion-Acoustic Waves in a Superthermal Plasma

2020 ◽  
Vol 75 (3) ◽  
pp. 183-191 ◽  
Author(s):  
Durga Prasad Chapagai ◽  
Jharna Tamang ◽  
Asit Saha
Keyword(s):  
Dynamical Systems ◽  
Bifurcation Analysis ◽  
Acoustic Waves ◽  
Small Amplitude ◽  
Perturbation Technique ◽  
Travelling Wave ◽  
Mkdv Equation ◽  
Ion Acoustic Waves ◽  
Ion Acoustic ◽  
Superthermal Plasma

AbstractBifurcation analysis of small-amplitude nonlinear and supernonlinear periodic ion-acoustic waves (SNPIAWs) is reported in a three-constituent superthermal plasma composing of cold fluid ions and kappa-distributed electrons of two temperatures (cold and hot). Using the reductive perturbation technique, the plasma system is studied under the Korteweg-de Vries (KdV) and the modified KdV (mKdV) equations. Furthermore, the KdV and mKdV equations are transformed into planar dynamical systems applying travelling wave transfiguration. Possible qualitative phase profiles for the corresponding dynamical systems controlled by system parameters ($\kappa,{\alpha_{c}},{\alpha_{h}}$ and f) are shown. Small-amplitude SNPIAW solution for the mKdV equation is presented for the first time. Small-amplitude nonlinear periodic ion-acoustic wave (NPIAW) and ion-acoustic solitary wave solutions (IASWS) for both the KdV and mKdV equations are obtained. Effects of parameters κ and αh on IASW, NPIAW and SNPIAW solutions are investigated.

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 dressed solitary structures in two component plasma with Tsallis-nonthermal velocity distribution of electrons

2017 ◽  
Vol 91 (12) ◽  
pp. 1625-1634 ◽  
Author(s):  
Parveen Bala ◽  
Tarsem Singh Gill ◽  
Amandeep Singh Bains ◽  
Harvinder Kaur
Keyword(s):  
Velocity Distribution ◽  
Two Component ◽  
Solitary Structures ◽  
Ion Acoustic ◽  
Component Plasma

Ion-acoustic double layers in electron–positron–ion plasmas with finite ion temperature

2013 ◽  
Vol 79 (5) ◽  
pp. 661-675 ◽  
Author(s):  
S. K. JAIN ◽  
M. K. MISHRA
Keyword(s):  
Double Layer ◽  
Small Amplitude ◽  
Double Layers ◽  
Cold Electron ◽  
Ion Temperature ◽  
Temperature Ratio ◽  
Plasma Parameters ◽  
Electron Positron ◽  
Ion Acoustic ◽  
Ion Acoustic Double Layers

AbstractThe large-amplitude ion-acoustic double layers in a collisionless plasma consisting of isothermal positrons, warm adiabatic ions and two-temperature distribution of electrons are investigated. Using the pseudo-potential approach, an energy-integral equation for the system has been derived which encompasses complete nonlinearity for the plasma system. The existence region of the double layers is analyzed numerically. It is found that for a selected set of physical parameters, the rarefactive double layer exists in the electron–positron–ion plasma. It is found that the existence regime of the double layer is very sensitive to the plasma parameters, e.g. cold electron concentration (μ) and temperature ratio of two electron species (β). An increase in the finite ion temperature ratio increases the amplitude of the rarefactive double layer. To study small-amplitude double layers, we have expanded the Sagdeev potential. In the case of small amplitude, it is found that the amplitude of the double layer increases with increase in ion temperature ratio (σ) and cold electron concentration (μ). However increase in positron concentration (α) and temperature ratio of positrons to electrons (γ) decreases the amplitude of the double layer. The effect of various plasma parameters on the characteristics of the double layers is discussed in detail. The results of the investigation may be helpful to understanding basic plasma characteristics in space.

Sign in / Sign up

Export Citation Format

Share Document