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Title: Sagdeev potential approach for quantum ion-acoustic solitary waves in an electron-positron-ion plasma

Abstract

Sagdeev pseudopotential method is employed to study the arbitrary amplitude quantum ion-acoustic solitary waves in an unmagnetized electron-positron-ion plasma by using one dimensional quantum hydrodynamic model together with the Poisson equation. Sagdeev potential function is obtained in terms of electrostatic potential and analyzed with and without the effect of quantum diffraction parameter H. Effects of the parameter H on both the amplitude and width of the solitary waves have been observed. It is also observed that the positron density can affect the wave propagation.

Authors:
;  [1]
  1. Department of Mathematics, National Institute of Technology Durgapur, West Bengal-713209 (India)
Publication Date:
OSTI Identifier:
22609136
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1751; Journal Issue: 1; Conference: National seminar on advances in mathematical sciences 2015, Assam (India), 22 Dec 2015; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; AMPLITUDES; DIFFRACTION; ELECTRONS; ELECTROSTATICS; HYDRODYNAMIC MODEL; IONS; ONE-DIMENSIONAL CALCULATIONS; PLASMA; POISSON EQUATION; POSITRONS; SIMULATION; WAVE PROPAGATION

Citation Formats

Banerjee, Gadadhar, E-mail: gban.iitkgp@gmail.com, and Maitra, Sarit, E-mail: sarit2010.nt@gmail.com. Sagdeev potential approach for quantum ion-acoustic solitary waves in an electron-positron-ion plasma. United States: N. p., 2016. Web. doi:10.1063/1.4954861.
Banerjee, Gadadhar, E-mail: gban.iitkgp@gmail.com, & Maitra, Sarit, E-mail: sarit2010.nt@gmail.com. Sagdeev potential approach for quantum ion-acoustic solitary waves in an electron-positron-ion plasma. United States. doi:10.1063/1.4954861.
Banerjee, Gadadhar, E-mail: gban.iitkgp@gmail.com, and Maitra, Sarit, E-mail: sarit2010.nt@gmail.com. 2016. "Sagdeev potential approach for quantum ion-acoustic solitary waves in an electron-positron-ion plasma". United States. doi:10.1063/1.4954861.
@article{osti_22609136,
title = {Sagdeev potential approach for quantum ion-acoustic solitary waves in an electron-positron-ion plasma},
author = {Banerjee, Gadadhar, E-mail: gban.iitkgp@gmail.com and Maitra, Sarit, E-mail: sarit2010.nt@gmail.com},
abstractNote = {Sagdeev pseudopotential method is employed to study the arbitrary amplitude quantum ion-acoustic solitary waves in an unmagnetized electron-positron-ion plasma by using one dimensional quantum hydrodynamic model together with the Poisson equation. Sagdeev potential function is obtained in terms of electrostatic potential and analyzed with and without the effect of quantum diffraction parameter H. Effects of the parameter H on both the amplitude and width of the solitary waves have been observed. It is also observed that the positron density can affect the wave propagation.},
doi = {10.1063/1.4954861},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1751,
place = {United States},
year = 2016,
month = 6
}
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  • The purpose of this work is to investigate the linear and nonlinear properties of the ion-acoustic waves (IAW), propagating obliquely to an external magnetic field in a weakly relativistic, rotating, and magnetized electron-positron-ion plasma. The Zakharov-Kuznetsov equation is derived by employing the reductive perturbation technique for this wave in the nonlinear regime. This equation admits the solitary wave solution. The amplitude and width of this solitary wave have been discussed with the effects of obliqueness, relativity, ion temperature, positron concentration, magnetic field, and rotation of the plasma and it is observed that for IAW these parameters affect the propagation propertiesmore » of solitary waves and these plasmas behave differently from the simple electron-ion plasmas. Likewise, the current density and electric field of these waves are investigated for their dependence on the above-mentioned parameters.« less
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