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.

Dust–acoustic nonlinear periodic waves in a dusty plasma with charge fluctuation

2009 ◽  
Vol 75 (5) ◽  
pp. 697-707 ◽  
Author(s):  
L. L. YADAV ◽  
S. V. SINGH ◽  
R. BHARUTHRAM
Keyword(s):  
Reductive Perturbation Method ◽  
Hot Electrons ◽  
Charge Fluctuation ◽  
Periodic Waves ◽  
Plasma Parameters ◽  
Cnoidal Waves ◽  
Electrons And Ions ◽  
Dust Acoustic ◽  
Dust Grain ◽  
Limiting Case

AbstractUsing the reductive perturbation method, we present a theory for dust–acoustic nonlinear periodic waves, namely dust–acoustic cnoidal waves, in a plasma containing hot electrons and ions, and warm dust grains with varying charge. It is found that the frequency of the cnoidal wave is a function of its amplitude. It is also found that the dust grain charge fluctuation and other plasma parameters modify the properties of the dust–acoustic cnoidal waves. In the limiting case, these dust–acoustic cnoidal waves reduce to the well-known dust–acoustic solitons.

scholarly journals Nonlinear propagation of ion acoustic waves in quantum plasma in the presence of an ion beam

2019 ◽  
Vol 37 (4) ◽  
pp. 370-380 ◽  
Author(s):  
Indrani Paul ◽  
Arkojyothi Chatterjee ◽  
Sailendra Nath Paul
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Ion Beam ◽  
Perturbation Technique ◽  
Nonlinear Propagation ◽  
Quantum Plasma ◽  
Plasma Parameters ◽  
Ion Acoustic Waves ◽  
Quantum Hydrodynamic Model ◽  
Ion Acoustic

AbstractNonlinear propagation of ion acoustic waves has been studied in unmagnetized quantum (degenerate) plasma in the presence of an ion beam using the one-dimensional quantum hydrodynamic model. The Korteweg–de Vries (K–dV) equation has been derived by using the reductive perturbation technique. The solution of ion acoustic solitary waves is obtained from the K–dV equation. The theoretical results have been analyzed numerically for different values of plasma parameters and the results are presented graphically. It is seen that the formation and structure of solitary waves are significantly affected by the ion beam in quantum plasma. The solitary waves will be compressive or rarefactive depending upon the values of velocity, concentration, and temperature of the ion beam. The critical value of ion beam density for the nonexistence of solitary wave has been numerically estimated, and its variation with velocity and temperature of ion beam has been discussed graphically. The results are new and would be very useful for understanding the beam–plasma interactions and the formation of nonlinear wave structures in dense quantum plasma.

Compressive and rarefactive dust ion-acoustic solitary waves with degenerate electron–positron–ion plasma

2015 ◽  
Vol 81 (3) ◽  
Author(s):  
K. N. Mukta ◽  
M. S. Zobaer ◽  
N. Roy ◽  
A. A. Mamun
Keyword(s):  
Solitary Waves ◽  
Solitary Wave Solution ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Degenerate Electron ◽  
Plasma Parameters ◽  
Solitary Structures ◽  
Ion Acoustic ◽  
Basic Features ◽  
Dia Waves

The nonlinear propagation of dust ion-acoustic (DIA) waves in a unmagnetized collisionless degenerate dense plasma (containing degenerate electron and positron, and classical ion fluids) has been theoretically investigated. The K-dV equation has been derived by employing the reductive perturbation method and by taking into account the effect of different plasma parameters in plasma fluid. The stationary solitary wave solution of K-dV equation is obtained, and numerically analyzed to identify the basic properties of DIA solitary structures. It has been shown that depending on plasma parametric values, the degenerate plasma under consideration supports compressive or rarefactive solitary structures. It has been also found that the effect of pressures on electrons, ions, and positrons significantly modify the basic features of solitary waves that are found to exist in such a plasma system. The relevance of our results in astrophysical objects such as white dwarfs and neutron stars, which are of scientific interest, is discussed briefly.

Solitary waves in a dusty adiabatic electronegative plasma

2010 ◽  
Vol 76 (3-4) ◽  
pp. 409-418 ◽  
Author(s):  
A. A. MAMUN ◽  
K. S. ASHRAFI ◽  
M. G. M. ANOWAR
Keyword(s):  
Solitary Waves ◽  
Vries Equation ◽  
Negative Ions ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Charged Dust ◽  
Electronegative Plasma ◽  
Ion Acoustic ◽  
Basic Features ◽  
Electronegative Plasmas

AbstractThe dust ion-acoustic solitary waves (SWs) in an unmagnetized dusty adiabatic electronegative plasma containing inertialess adiabatic electrons, inertial single charged adiabatic positive and negative ions, and stationary arbitrarily (positively and negatively) charged dust have been theoretically studied. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation which admits an SW solution. The combined effects of the adiabaticity of plasma particles, inertia of positive or negative ions, and presence of positively or negatively charged dust, which are found to significantly modify the basic features of small but finite-amplitude dust-ion-acoustic SWs, are explicitly examined. The implications of our results in space and laboratory dusty electronegative plasmas are briefly discussed.

Effect of ion temperature on ion-acoustic solitary waves in a two-ion plasma

1988 ◽  
Vol 66 (6) ◽  
pp. 467-470 ◽  
Author(s):  
Sikha Bhattacharyya ◽  
R. K. Roychoudhury
Keyword(s):  
Mach Number ◽  
Analytical Solution ◽  
Solitary Waves ◽  
Experimental Result ◽  
Ion Temperature ◽  
Ion Plasma ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Cold Ions ◽  
Pseudopotential Approach

The effect of ion temperature on ion-acoustic solitary waves in the case of a two-ion plasma has been investigated using the pseudopotential approach of Sagdeev. An analytical solution for relatively small amplitudes has also been obtained. Our result has been compared, whenever possible, with the experimental result obtained by Nakamura. It is found that a finite ion temperature considerably modifies the restrictions on the Mach number obtained for cold ions.

Ion acoustic solitary waves in magnetized anisotropic nonextensive plasmas

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Muhammad Khalid ◽  
Mohsin Khan ◽  
Ata ur-Rahman ◽  
Muhammad Irshad
Keyword(s):  
Solitary Waves ◽  
Type Equation ◽  
Reductive Perturbation Method ◽  
Nonlinear Propagation ◽  
Astrophysical Plasma ◽  
Parallel Component ◽  
Pressure Anisotropy ◽  
Ion Acoustic ◽  
Tsallis Distribution ◽  
Perpendicular Component

Abstract The nonlinear propagation of ion-acoustic (IA) electrostatic solitary waves (SWs) is studied in a magnetized electron–ion (e–i) plasma in the presence of pressure anisotropy with electrons following Tsallis distribution. The Korteweg–de Vries (KdV) type equation is derived by employing the reductive perturbation method (RPM) and its solitary wave (SW) solution is determined and analyzed. The effect of nonextensive parameter q, parallel component of anisotropic ion pressure p 1, perpendicular component of anisotropic ion pressure p 2, obliqueness angle θ, and magnetic field strength Ω on the characteristics of SW structures is investigated. The present investigation could be useful in space and astrophysical plasma systems.

scholarly journals Effects of Boundary and Electron Inertia on the Ion Acoustic Wave in a Plasma: A Pseudopotential Approach

1998 ◽  
Vol 51 (1) ◽  
pp. 113 ◽  
Author(s):  
K. K. Mondal ◽  
S. N. Paul ◽  
A. Roy Chowdhury
Keyword(s):  
Acoustic Waves ◽  
Finite Geometry ◽  
Cylindrical Domain ◽  
Plasma Parameters ◽  
Ion Acoustic Waves ◽  
Ion Acoustic Wave ◽  
Electron Inertia ◽  
Ion Acoustic ◽  
Pseudopotential Approach ◽  
Range Of Values

A pseudopotential approach is used to analyse the propagation of ion-acoustic waves in a plasma bounded by a cylindrical domain. The effect of the finite geometry is displayed both analytically and numerically. The phase velocity of the wave is determined and its variation is studied with respect to the plasma parameters. It is observed that the pseudopotential shows a wide variation of shape due to the imposition of a finite boundary condition. It is shown that if the other parameters are kept within a certain range of values, then the trapping of particles is favoured when the presence of the boundary is taken into account.

Ion-acoustic waves in a degenerate multicomponent magnetoplasma

2012 ◽  
Vol 79 (2) ◽  
pp. 163-168 ◽  
Author(s):  
U. M. ABDELSALAM ◽  
M. M. SELIM
Keyword(s):  
Solitary Waves ◽  
Acoustic Waves ◽  
Three Dimensional ◽  
Negative Ions ◽  
Expansion Method ◽  
Reductive Perturbation Method ◽  
Negative Ion ◽  
Zk Equation ◽  
Ion Acoustic ◽  
Astrophysical Objects

AbstractThe hydrodynamic equations of positive and negative ions, degenerate electrons, and the Poisson equation are used along with the reductive perturbation method to derive the three-dimensional Zakharov–Kuznetsov (ZK) equation. The G′/G-expansion method is used to obtain a new class of solutions for the ZK equation. At certain condition, these solutions can describe the solitary waves that propagate in our plasma. The effects of negative ion concentrations, the positive/negative ion cyclotron frequency, as well as positive-to-negative ion mass ratio on solitary pulses are examined. Finally, the present study might be helpful to understand the propagation of nonlinear ion-acoustic solitary waves in a dense plasma, such as in astrophysical objects.

Effect of the third-order contribution on ion-acoustic solitary waves

1979 ◽  
Vol 57 (12) ◽  
pp. 2136-2142 ◽  
Author(s):  
C. S. Lai
Keyword(s):  
Solitary Waves ◽  
Order Approximation ◽  
Reductive Perturbation Method ◽  
Renormalization Scheme ◽  
Third Order ◽  
The Third ◽  
Ion Acoustic Solitary Waves ◽  
Ion Acoustic ◽  
Third Order Approximation ◽  
Secular Terms

The effect of the third-order corrections on ion-acoustic solitary waves is studied on the basis of the reductive perturbation method. The secular terms in the third-order approximation are eliminated by employing the renormalization scheme of Kodama and Taniuti in an unambiguous manner. It is found that the contribution of the third-order corrections to the soliton velocities and widths is rather minimal.

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