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Super rogue waves in ultracold neutral nonextensive plasmas

Published online by Cambridge University Press:  15 August 2013

S. A. EL-TANTAWY ,
N. A. EL-BEDWEHY  and
W. M. MOSLEM
S. A. EL-TANTAWY
Affiliation:
Department of Physics, Faculty of Science, Port Said University, Port Said 42521, Egypt ([email protected])
N. A. EL-BEDWEHY
Affiliation:
Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
W. M. MOSLEM
Affiliation:
Department of Physics, Faculty of Science, Port Said University, Port Said 42521, Egypt ([email protected])
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Abstract

The generation of ion-acoustic rogue waves in ultracold neutral plasmas (UNPs) composed of ion fluids and nonextensive electron distribution is investigated. For this purpose, basic equations are reduced to a nonlinear Schrödinger equation (NLSE) using a reductive perturbation technique. The existence region for the rogue waves defined precisely in terms of the critical wavenumber threshold kc. It is found that increasing the nonextensive parameter q would lead to a decrease of kc until q approaches to its critical value qc, then further increase of q beyond qc enhances kc; however, kc shrinks with the increase of the ions effective temperature ratio σ∗. The dependence of the first- and second-order rational solutions profile on the UNP parameters is numerically examined. It is noticed that near to the critical nonextensive parameter qc, the rogue wave amplitude becomes smaller, but it enhances whenever we stepped away from qc. However, the enhancement of the temperature ratio σ∗ and the wavenumber k reduces the envelope rogue wave amplitudes.

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. 1049 - 1056
Copyright
Copyright © Cambridge University Press 2013 

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