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Semiclassical relativistic fluid theory for electrostatic envelope modes in dense electron–positron–ion plasmas: Modulational instability and rogue waves

Published online by Cambridge University Press:  22 November 2013

IOANNIS KOURAKIS ,
MICHAEL MC KERR  and
ATA UR-RAHMAN
IOANNIS KOURAKIS
Affiliation:
Centre for Plasma Physics, School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, Northern Ireland, UK (IoannisKourakisSci@gmail.com)
MICHAEL MC KERR
Affiliation:
Centre for Plasma Physics, School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, Northern Ireland, UK (IoannisKourakisSci@gmail.com)
ATA UR-RAHMAN
Affiliation:
Institute of Physics and Electronics, University of Peshawar, Peshawar 25000, Pakistan National Centre for Physics, Shahdrah Valley Road, Islamabad 44000, Pakistan
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Abstract

A fluid model is used to describe the propagation of envelope structures in an ion plasma under the influence of the action of weakly relativistic electrons and positrons. A multiscale perturbative method is used to derive a nonlinear Schrödinger equation for the envelope amplitude. Criteria for modulational instability, which occurs for small values of the carrier wavenumber (long carrier wavelengths), are derived. The occurrence of rogue waves is briefly discussed.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Special Issue 6: Special issue in memory of Professor Padma Kant Shukla 1950-2013 , December 2013 , pp. 1089 - 1094
Copyright
Copyright © Cambridge University Press 2013 

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