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Electrostatic rogue waves in a plasma with a relativistic electron beam

Published online by Cambridge University Press:  03 June 2013

F. BENCHRIET ,
S. A. EL-TANTAWY ,
W. M. MOSLEM  and
M. DJEBLI
F. BENCHRIET
Affiliation:
Theoretical Physics Laboratory, Faculty of Physics USTHB, B.P. 32 Bab Ezzour, 16079 Algiers, Algeria Department of Physics, Faculty of Science, Port Said University, Port Said, Egypt (samireltantawy@yahoo.com)
S. A. EL-TANTAWY
Affiliation:
Department of Physics, Faculty of Science, Port Said University, Port Said, Egypt (samireltantawy@yahoo.com)
W. M. MOSLEM
Affiliation:
Department of Physics, Faculty of Science, Port Said University, Port Said, Egypt (samireltantawy@yahoo.com) International Centre for Advanced Studies in Physical Sciences, Faculty of Physics and Astronomy, Ruhr University Bochum, D-44780 Bochum, Germany Centre for Theoretical Physics, The British University in Egypt (BUE), El-Shorouk City, Cairo, Egypt
M. DJEBLI
Affiliation:
Theoretical Physics Laboratory, Faculty of Physics USTHB, B.P. 32 Bab Ezzour, 16079 Algiers, Algeria
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Abstract

The properties of nonlinear electrostatic acoustic rogue waves in a three-component plasma composed of electron, positron, and relativistic electron beam are investigated. The reductive perturbation method is used to obtain a Korteweg–de Vries equation. The dynamics of the modulationally unstable wave packets described by the Korteweg–de Vries equation gives rise to the formation of rogue pulses that is described by a nonlinear Schrödinger equation for small wave number. The effects of physical parameters on the profile of rogue waves are investigated numerically. The electrostatic rogue waves, as predicted here, may be associated with the nonlinear structures caused by the interaction of relativistic jets with plasma medium, such as in the active galactic nuclei and in the magnetosphere of collapsing stars.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 5 , October 2013 , pp. 847 - 851
Copyright
Copyright © Cambridge University Press 2013 

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