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Non-planar ion acoustic Gardner solitons in electron-positron-ion plasma with superthermal electrons and positrons

Published online by Cambridge University Press:  17 July 2012

DEB KUMAR GHOSH ,
UDAY NARAYAN GHOSH  and
PRASANTA CHATTERJEE
DEB KUMAR GHOSH
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan, India (debkumar_81@rediffmail.com)
UDAY NARAYAN GHOSH
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan, India (debkumar_81@rediffmail.com)
PRASANTA CHATTERJEE
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan, India (debkumar_81@rediffmail.com)
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Abstract

The properties of non-planar (cylindrical and spherical) ion acoustic solitary waves (IASWs) in an unmagnetized collisionless electron-positron-ion (e-p-i) plasma, whose constituents are inertial ions and superthermal/non-Maxwellian electrons and positrons (represented by the kappa (κ) distribution), are investigated by deriving the modified Gardner (MG) equation. The well-known reductive perturbation method is employed to derive the MG equation. The basic features of non-planar IA Gardner solitons (GSs) are discussed. It is seen that the properties of non-planar IAGSs (positive and negative) differ significantly as the value of spectral index kappa changes.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 1 , February 2013 , pp. 37 - 44
Copyright
Copyright © Cambridge University Press 2012

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