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Non-planar dust-acoustic solitary waves and double layers in a four-component dusty plasma with super thermal electrons

Published online by Cambridge University Press:  18 March 2013

PRASANTA CHATTERJEE ,
DEB KUMAR GHOSH ,
UDAY NARAYAN GHOSH  and
BISWAJIT SAHU
PRASANTA CHATTERJEE
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan, INDIA
DEB KUMAR GHOSH
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan, INDIA
UDAY NARAYAN GHOSH
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan, INDIA
BISWAJIT SAHU
Affiliation:
Department of Mathematics, West Bengal State University, Barasat, Kolkata-700126, INDIAbiswajit_sahu@yahoo.co.in
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Abstract

The properties of non-planar (cylindrical and spherical) dust-acoustic solitary waves (DA SWs) and double layers (DLs) in an unmagnetised collisionless four-component dusty plasma, whose constituents are positively and negatively charged dust grains, super thermal electrons and Boltzmannian ions are investigated by deriving the modified Gardner (MG) equation. The well known reductive perturbation method is employed to derive the MG equation and solve it numerically to study the nonlinear features of the finite amplitude non-planar DA Gardner solitons (GSs) and DLs, which are shown to exist for κ around its critical value κc (where, κ is the super thermal parameter and κc is the value of κ corresponding to the vanishing of the nonlinear coefficient of the Korteweg-de Vries (K-dV) equation). It is seen that the properties of non-planar DA SWs and DLs are significantly differs in non-planar geometry from planar geometry. It is also found that the magnitude of the amplitude of positive and negative GSs decreases with κ and the width of positive and negative GSs increases with the increase of κ.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 5 , October 2013 , pp. 691 - 698
Copyright
Copyright © Cambridge University Press 2013 

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