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

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.

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Nonlinear propagation of dust-ion-acoustic solitary waves in an unmagnetized dusty plasma with trapped particle distribution

Modern Physics Letters A ◽

10.1142/s0217732315502168 ◽

2015 ◽

Vol 30 (40) ◽

pp. 1550216 ◽

Cited By ~ 2

Author(s):

O. Rahman

Keyword(s):

Dusty Plasma ◽

Solitary Waves ◽

Perturbation Technique ◽

Negative Ions ◽

Mkdv Equation ◽

Finite Amplitude ◽

Negative Ion ◽

Nonlinear Propagation ◽

Ion Distribution ◽

Ion Acoustic

The nonlinear propagation of dust-ion-acoustic (DIA) solitary waves (SWs) in an unmagnetized four-component dusty plasma containing electrons and negative ions obeying vortex-like (trapped) velocity distribution, cold mobile positive ions and arbitrarily charged stationary dust has been theoretically investigated. The properties of small but finite amplitude DIASWs are studied by employing the reductive perturbation technique. It has been found that owing to the departure from the Maxwellian electron and Maxwellian negative ion distribution to a vortex-like one, the dynamics of such DIASWs is governed by a modified Korteweg–de Vries (mKdV) equation which admits SW solution under certain conditions. The basic properties (speed, amplitude, width, etc.) of such DIASWs are found to be significantly modified by the presence of trapped electron and trapped negative ions. The implications of our results to space and laboratory dusty electronegative plasmas (DENPs) are briefly discussed.

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Higher-order contributions to ion-acoustic solitary waves in a warm multicomponent plasma with an electron beam

Journal of Plasma Physics ◽

10.1017/s0022377899008181 ◽

2000 ◽

Vol 63 (2) ◽

pp. 139-155 ◽

Cited By ~ 21

Author(s):

W. M. MOSLEM

Keyword(s):

Electron Beam ◽

Solitary Waves ◽

Kdv Equation ◽

Negative Ions ◽

Type Equation ◽

Higher Order ◽

Second Order ◽

Negative Ion ◽

Ion Acoustic Solitary Waves ◽

Ion Acoustic

Higher-order contributions in reductive perturbation theory are studied for small- but finite-amplitude ion-acoustic solitary waves in a warm plasma with negative-ion, positron and electron constituents traversed by a warm electron beam (with different temperatures and pressures). The basic set of fluid equations are reduced to a Korteweg–de Vries (KdV) equation for the first-order perturbed potential and a linear inhomogeneous KdV-type equation for the second-order perturbed potential. At the critical negative-ion density, the coefficient of the nonlinear term in the KdV equation vanishes. A new set of stretched coordinates is then used to derive a modified KdV equation and a linear inhomogeneous modified KdV-type equation at the critical density of negative ions for the second-order perturbed potential. Stationary solutions of the coupled equations, for both cases, are obtained using a renormalization method.

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

Laser and Particle Beams ◽

10.1017/s0263034618000058 ◽

2018 ◽

Vol 36 (1) ◽

pp. 136-143 ◽

Cited By ~ 4

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.

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Solitary Wave with Quantisation of Electron’s Orbit in a Magnetised Plasma in the Presence of Heavy Negative Ions

Zeitschrift für Naturforschung A ◽

10.1515/zna-2019-0296 ◽

2020 ◽

Vol 75 (3) ◽

pp. 211-223 ◽

Cited By ~ 1

Author(s):

Manoj Kr. Deka ◽

Apul N. Dev

Keyword(s):

Magnetic Field ◽

Solitary Wave ◽

Electron Density ◽

Maximum Amplitude ◽

Negative Ions ◽

Ion Concentration ◽

Negative Ion ◽

Maximum Height ◽

Degenerate Plasma ◽

Analytical Scheme

AbstractThe propagation characteristics of solitary wave in a degenerate plasma in the presence of Landau-quantised magnetic field and heavy negative ion are studied. The nature of solitary wave in such plasma under the influence of magnetic quantisation and the concentration of both electrons and negative ions, as well as in the presence of degenerate temperature, are studied with the help of a time-independent analytical scheme of the solution of Zakharov–Kuznetsov equation. The electron density, as well as the magnetic quantisation parameter, has an outstanding effect on the features of solitary wave proliferation in such plasma. Interestingly, for any fixed electron density, the magnetic quantisation parameter has an equal control on the maximum height and dispersive properties of the solitary wave. Toward higher temperatures and higher magnetic fields, the width of the solitary wave decreases. For a lower magnetic field, the maximum amplitude of the solitary wave decreases rapidly at higher values of degenerate temperature and negative ion concentration; however, at a lower value of degenerate temperature, the maximum amplitude increases with increasing negative ion concentration.

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Ion-acoustic waves in a degenerate multicomponent magnetoplasma

Journal of Plasma Physics ◽

10.1017/s0022377812000803 ◽

2012 ◽

Vol 79 (2) ◽

pp. 163-168 ◽

Cited By ~ 8

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.

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Linear and nonlinear obliquely propagating ion-acoustic waves in magnetized negative ion plasma with non-thermal electrons

Journal of Plasma Physics ◽

10.1017/s0022377813000652 ◽

2013 ◽

Vol 79 (5) ◽

pp. 893-908 ◽

Cited By ~ 2

Author(s):

M. K. MISHRA ◽

S. K. JAIN

Keyword(s):

Acoustic Waves ◽

Kdv Equation ◽

Negative Ions ◽

Ion Concentration ◽

Negative Ion ◽

Slow Mode ◽

Ion Temperature ◽

Ion Acoustic ◽

Ion Acoustic Solitons ◽

Ion Species

AbstractIon-acoustic solitons in magnetized low-β plasma consisting of warm adiabatic positive and negative ions and non-thermal electrons have been studied. The reductive perturbation method is used to derive the Korteweg–de Vries (KdV) equation for the system, which admits an obliquely propagating soliton solution. It is found that due to the presence of finite ion temperature there exist two modes of propagation, namely fast and slow ion-acoustic modes. In the case of slow-mode if the ratio of temperature to mass of positive ion species is lower (higher) than the negative ion species, then there exist compressive (rarefactive) ion-acoustic solitons. It is also found that in the case of slow mode, on increasing the non-thermal parameter (γ) the amplitude of the compressive (rarefactive) soliton decreases (increases). In fast ion-acoustic mode the nature and characteristics of solitons depend on negative ion concentration. Numerical investigation in case of fast mode reveals that on increasing γ, the amplitude of compressive (rarefactive) soliton increases (decreases). The width of solitons increases with an increase in non-thermal parameters in both the modes for compressive as well as rarefactive solitons. There exists a value of critical negative ion concentration (αc), at which both compressive and rarefactive ion-acoustic solitons appear as described by modified KdV soliton. The value of αc decreases with increase in γ.

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Kinetic theory of electrostatic ion cyclotron waves (QPESIC) in multicomponent plasmas with negative ions

Facta universitatis - series Physics Chemistry and Technology ◽

10.2298/fupct0701045s ◽

2007 ◽

Vol 5 (1) ◽

pp. 45-55 ◽

Cited By ~ 1

Author(s):

Darko Simic ◽

Dragan Gajic

Keyword(s):

Kinetic Theory ◽

Negative Ions ◽

Negative Ion ◽

Bgk Model ◽

Maxwellian Plasma ◽

Ion Cyclotron ◽

Model Collision ◽

Weakly Ionized ◽

Component Plasma ◽

Ion Species

The instabilities of the quasi-perpendicular electrostatic (?B = 0) ioncyclotron waves (QPESIC) are investigated. The kinetic theory with BGK model collision integrals is used to estimate the critical electron drift velocity in the presence of positively or negatively charged resonant ions in multi-component plasma. Analytical evaluation for the ion-cyclotron modes and instabilities in the long-wave range in a weakly-ionized Maxwellian plasma with two positive ion species, one negative ion species and with electrons, drifting along magnetic lines of force is demonstrated. The spectrum in these situations is also given. It is shown that the critical drift decreases as the state of plasma approaches the isothermic state.

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Experiments on ion-acoustic rarefactive solitons in a multi-component plasma with negative ions

Journal of Plasma Physics ◽

10.1017/s0022377800002476 ◽

1985 ◽

Vol 33 (2) ◽

pp. 237-248 ◽

Cited By ~ 110

Author(s):

Y. Nakamura ◽

J. L. Ferreira ◽

G. O. Ludwig

Keyword(s):

Vries Equation ◽

Critical Concentration ◽

Negative Ions ◽

Finite Amplitude ◽

Ion Temperature ◽

Ion Acoustic ◽

De Vries ◽

Component Plasma ◽

Ion Acoustic Solitons

Ion-acoustic solitons in a three-component plasma which consists of electrons and positive and negative ions have been investigated experimentally. When the concentration of negative ions is smaller than a certain value, positive or compressive solitons are observed. At the critical concentration, a broad pulse of small but finite amplitude propagates without changing its shape. When the concentration is larger than this value, negative or rarefactive solitons are excited. The velocity and the width of these solitons are measured and compared with predictions of the Korteweg-de Vries equation which takes the negative ions and the ion temperature into consideration. Head-on and overtaking collisions of the rarefactive solitons have been observed to show that the solitons are not affected by these collisions.

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

Applied Sciences ◽

10.3390/app10176115 ◽

2020 ◽

Vol 10 (17) ◽

pp. 6115 ◽

Cited By ~ 1

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.

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