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Effect of non-extensivity during the collision between inward and outward ion acoustic solitary waves in cylindrical and spherical geometry

Published online by Cambridge University Press:  14 May 2013

UDAY NARAYAN GHOSH  and
PRASANTA CHATTERJEE
UDAY NARAYAN GHOSH
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan-731 235, West Bengal, India (unghosh1@rediffmail.com)
PRASANTA CHATTERJEE
Affiliation:
Department of Mathematics, Siksha Bhavana, Visva Bharati University, Santiniketan-731 235, West Bengal, India (unghosh1@rediffmail.com)
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Abstract

The head-on collision between two cylindrical/spherical ion acoustic solitary waves (IASWs) in un-magnetized plasmas comprising inertial ions and q-non-extensive electrons and positrons is investigated using the extended version of the Poincaré–Lighthill–Kuo perturbation method. How the interactions are taking place in cylindrical and spherical geometry are studied, and the collision is shown at different times. The non-planar geometry can modify analytical phase shifts following the head-on collision are derived. The effects of q-non-extensive electrons and positrons on the phase shift are studied. It is shown that the properties of the interaction of IASWs in cylindrical and spherical geometry are very different.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 5 , October 2013 , pp. 789 - 795
Copyright
Copyright © Cambridge University Press 2013 

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