Electrostatic wave structures and their stability analysis in nonextensive magnetised electron-positron-ion plasma

Gill, Tarsem Singh; Bala, Parveen; Bains, A. S.

doi:10.1007/s10509-015-2261-3

Cited by 15 publications

(3 citation statements)

References 61 publications

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“…It was found that in the given plasma model, amplitude, polarity, and width of the shock waves strongly depend on the plasma parameters. The effects of non‐extensivity, particle density and temperature, and magnetic field on electrostatic wave structures in electron positron ion plasma were studied by Gill et al Rafat et al examined the obliquely propagating electron acoustic (EA) waves in collisionless, magnetized, and e‐p‐i plasma with non‐extensive character of electrons and protons. The reductive perturbation method was used to derive the Zakharov‐Kuznetsov equation.…”

Section: Introductionmentioning

confidence: 99%

Theoretical analysis of planar and non‐planar electron ‐ acoustic shock waves in electron‐positron‐ion plasma

Bansal

Aggarwal²,

Gill

2019

Contributions to Plasma Physics

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The propagation properties of planar and non‐planar electron acoustic shock waves composed of stationary ions, cold electrons, and q‐non‐extensive hot electrons and positrons are studied in unmagnetized electron‐positron‐ion plasma. In this model, the Korteweg‐de Vries Burgers equation is obtained in the planar and non‐planar coordinates. We have investigated the combined action of the dissipation, non‐extensivity, density ratio of hot to cold electrons, concentration of positrons, and temperature difference of cold electrons, hot electrons, and positrons. It was found that the amplitude of shock wave in e‐p‐i plasma increases when the positron concentration and temperature increase. The same effect is observed in the case of kinematic viscosity η. Furthermore, it is noticed that spherical wave moves faster in comparison to the shock waves in cylindrical geometry. This difference arises due to the presence of the geometry term m/2τ. It should be noted that the contribution of the geometry factor comes through the continuity equation. Results of our work may be helpful to illustrate the different properties of shock wave features in different astrophysical and space environments like supernova, polar regions, and in the vicinity of black holes.

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Section: Introductionmentioning

confidence: 99%

Theoretical analysis of planar and non‐planar electron ‐ acoustic shock waves in electron‐positron‐ion plasma

Bansal

Aggarwal²,

Gill

2019

Contributions to Plasma Physics

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“…Different types of waves, viz. ion acoustic (IA) waves, electron-acoustic (EA) waves, or dust-acoustic (DA) waves in nonextensive plasmas are investigated by many researchers considering one or two components to be nonextensive [25][26][27][28][29][30][31][32][33]. Ferdousi et al [34] studied the properties of small amplitude ionacoustic solitary waves (IASWs) in three component magnetized electron-positron-ion plasma.…”

Section: Introductionmentioning

confidence: 99%

Oblique Propagation of Nonlinear Solitary Waves in Magnetized Plasma with Nonextensive Electrons

Bala

Kaur

2019

PSIJ

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In this paper, authors have studied the properties of obliquely propagating nonlinear solitary waves in a plasma system consisting of warm ions and nonextensively distributed electrons. The nonlinear Korteweg-de-Vries (KdV) equation and its solution have been derived using the standard reductive perturbation method. The effect of ion temperature on the propagation of solitary waves has been investigated numerically. The critical value of nonextensivity at which solitary structures transit from negative to positive potential is found to shift to the lower value under the effect of finite temperature. The numerical results are interpreted graphically. The results may be useful for understanding the wave propagation in laboratory and space plasmas where magnetic field is present.

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“…The small-k perturbation expansion method of Rowlands and Infeld [1][2][3][4][5] is generally used to analyse the lowest order stability of solitary wave solutions of different nonlinear evolution equations in plasmas, where k is the wave number for long-wavelength plane-wave perturbation. Several authors [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] have used this method to investigate the lowest order stability of solitary waves in plasmas with or without magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Higher order stability of dust ion acoustic solitary wave solution described by the KP equation in a collisionless unmagnetized nonthermal plasma in presence of isothermal positrons

Sardar,

Bandyopadhyay,

Das

2018

Preprint

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Sardar et al. [Phys. Plasmas 23, 073703 (2016)] have studied the stability of small amplitude dust ion acoustic solitary waves in a collisionless unmagnetized electron -positron -ion -dust plasma. They have derived a Kadomtsev Petviashvili (KP) equation to investigate the lowest -order stability of the solitary wave solution of the Korteweg-de Vries (KdV) equation for long-wavelength plane-wave transverse perturbation when the weak dependence of the spatial coordinates perpendicular to the direction of propagation of the wave is taken into account. In the present paper, we have extended the lowest -order stability analysis of KdV solitons given in the paper of Sardar et al. [Phys. Plasmas 23, 073703 (2016)] to higher order with the help of multiple-scale perturbation expansion method of Allen and Rowlands [J. Plasma Phys. 50, 413 (1993); 53, 63 (1995)]. It is found that solitary wave solution of the KdV equation is stable at the order k 2 , where k is the wave number for long-wavelength plane-wave perturbation.

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Electrostatic wave structures and their stability analysis in nonextensive magnetised electron-positron-ion plasma

Cited by 15 publications

References 61 publications

Theoretical analysis of planar and non‐planar electron ‐ acoustic shock waves in electron‐positron‐ion plasma

Theoretical analysis of planar and non‐planar electron ‐ acoustic shock waves in electron‐positron‐ion plasma

Oblique Propagation of Nonlinear Solitary Waves in Magnetized Plasma with Nonextensive Electrons

Higher order stability of dust ion acoustic solitary wave solution described by the KP equation in a collisionless unmagnetized nonthermal plasma in presence of isothermal positrons

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