Ion-acoustic solitons in pair-ion plasma with non-thermal electrons

Jilani, K.; Mirza, Arshad M.; Khan, Tufail A.

doi:10.1007/s10509-012-1309-x

Cited by 29 publications

(16 citation statements)

References 28 publications

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“…Our analysis clearly showed how the effects due to nonthermal electrons and adiabatic positively charged inertial heavy ions significantly modify the basic properties of the HIA solitary and shock waves. The ranges of plasma parameters used in our numerical analysis (α = 0.1-0.9, σ i = 1.2-3, σ = 0.01-0.5, and β = 0.1-0.9 [34]) are relevant to both space and laboratory plasmas. This model is also precisely valid for large value of Z h (Z h > 100) [24].…”

Section: Discussionmentioning

confidence: 99%

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Heavy-Ion-Acoustic Solitary and Shock Waves in an Adiabatic Multi-Ion Plasma

2015

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The standard reductive perturbation method has been employed to derive the Korteweg-deVries (K-dV) and Burgers (BG) equations to investigate the basic properties of heavy-ion-acoustic (HIA) waves in a plasma system which is supposed to be composed of nonthermal electrons, Boltzmann distributed light ions, and adiabatic positively charged inertial heavy ions. The HIA solitary and shock structures are found to exist with either positive or negative potential. It is found that the effects of adiabaticity of inertial heavy ions, nonthermality of electrons, and number densities of plasma components significantly modify the basic properties of the HIA solitary and shock waves. The implications of our results may be helpful in understanding the electrostatic perturbations in various laboratory and astrophysical plasma environments.

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Section: Discussionmentioning

confidence: 99%

“…The range of the nonthermal parameter β is 0.1 ≤ β ≤ 0.9 [34]. We consider the propagation of a low phase speed (in comparison with the electron thermal speed) electrostatic perturbation mode, whose nonlinear dynamics is described by…”

Section: Model Equationsmentioning

confidence: 99%

Heavy-Ion-Acoustic Solitary and Shock Waves in an Adiabatic Multi-Ion Plasma

2015

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“…[1][2][3][4][5][6][7] It is believed that studying the IAWs is very useful in understanding the low-frequency component of broadband electrostatic excitations observed in several parts of the Earth's magnetosphere and the other astrophysical plasma environments. Much research work has been conducted to explore the linear and non-linear characteristics of IAWs in the electron-ion (e-i) plasmas.…”

Section: Introductionmentioning

confidence: 99%

“…Much research work has been conducted to explore the linear and non-linear characteristics of IAWs in the electron-ion (e-i) plasmas. [1][2][3][4][5][6][7] It is believed that studying the IAWs is very useful in understanding the low-frequency component of broadband electrostatic excitations observed in several parts of the Earth's magnetosphere and the other astrophysical plasma environments. [8,9] Different types of non-linear structures, such as solitons, shocks, double layers, vortices, etc., are extensively studied using several approaches such as reductive perturbation technique, [1] Sagdeev's pseudo-potential theory, [10] etc.…”

Section: Introductionmentioning

confidence: 99%

Dynamical behaviour of non‐linear quantum ion acoustic wave in weakly magnetized electron–positron–ion plasma

Roy

Sahu

2019

Contributions to Plasma Physics

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In order to investigate the propagation characteristics of linear and non-linear ion acoustic waves (IAWs) in electron-positron-ion quantum plasma in the presence of external weak magnetic field, we have used a quantum hydrodynamic model, and degenerate statistics for the electrons and positrons are taken into account. It is found that the linear dispersion relation of the IAW was modified by the externally applied magnetic field. By using the reductive perturbation technique, a gyration-modified Korteweg-de Vries equation is derived for finite amplitude non-linear IAWs. Time-dependent numerical simulation shows the formation of an oscillating tail in front of the ion acoustic solitons in the presence of a weak magnetic field. It is also seen that the amplitude and width of solitons and oscillating tails are affected by the relevant plasma parameters such as quantum diffraction, positron concentration, and magnetic field. We have performed our analysis by extending it to account for approximate soliton solution by asymptotic perturbation technique and non-linear analysis via a dynamical system approach. The analytical results show the distortion of the shape of the localized soliton with time, and the non-linear analysis confirms the generation of oscillating tails. K E Y W O R D SElectron-positron-ion quantum plasmas, gyration-modified KdV equation, ion acoustic waves

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“…Apart from these investigations, a few works on SWs in dusty pair-ion plasmas including the effects of degeneracy, non-thermality as well as the supra-thermality of plasma parameters have also been carried out [28][29][30]. On the other hand, a few attempts have been made to solve the complex KdV and complex Burgers' equations throughout the research fraternity from different branches of physics as well as mathematics considering different techniques in different physical situations [31][32][33][34][35].…”

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confidence: 99%

Nonlinear dust-acoustic solitary waves and shocks in dusty plasmas with a pair of trapped ions

et al. 2017

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Abstract:The propagation characteristics of small-amplitude dust-acoustic (DA) solitary waves (SWs) and shocks are studied in an unmagnetized dusty plasma with a pair of trapped positive and negative ions. Using the standard reductive perturbation technique with two different scaling of stretched coordinates, the evolution equations for DA SWs and shocks are derived in the forms of complex Korteweg-de Vries (KdV) and complex Burgers' equations. The effects of dust charge variation, the dust thermal pressure, and the ratios of the positive to negative ion number densities as well as the free to trapped ion temperatures on the profiles of SWs and shocks are analysed and discussed.

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Ion-acoustic solitons in pair-ion plasma with non-thermal electrons

Cited by 29 publications

References 28 publications

Heavy-Ion-Acoustic Solitary and Shock Waves in an Adiabatic Multi-Ion Plasma

Heavy-Ion-Acoustic Solitary and Shock Waves in an Adiabatic Multi-Ion Plasma

Dynamical behaviour of non‐linear quantum ion acoustic wave in weakly magnetized electron–positron–ion plasma

Nonlinear dust-acoustic solitary waves and shocks in dusty plasmas with a pair of trapped ions

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