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Dynamics of modulationally unstable ion-acoustic wavepackets in plasmas with negative ions

Published online by Cambridge University Press:  01 October 2008

MICHAEL S. RUDERMAN ,
TATYANA TALIPOVA  and
EFIM PELINOVSKY
MICHAEL S. RUDERMAN
Affiliation:
Department of Applied Mathematics, University of Sheffield, Hicks Building, Hounsfield Road, Sheffield S3 7RH, UK ([email protected])
TATYANA TALIPOVA
Affiliation:
Laboratory of Hydrophysics and Nonlinear Acoustics, Institute of Applied Physics, Nizhny Novgorod, Russia
EFIM PELINOVSKY
Affiliation:
Laboratory of Hydrophysics and Nonlinear Acoustics, Institute of Applied Physics, Nizhny Novgorod, Russia
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Abstract

In this paper we study the propagation of nonlinear ion-acoustic waves in plasmas with negative ions. The Gardner equation governing these waves in plasmas with the negative ion concentration close to critical is derived. The weakly nonlinear theory of modulational instability based on the use of the nonlinear Schrödinger equation is discussed. The investigation of the nonlinear dynamics of modulationally unstable quasi-harmonic wavepackets is carried out by the numerical solution of the Gardner equation. The results are compared with the predictions of the weakly nonlinear theory.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 5 , October 2008 , pp. 639 - 656
Copyright
Copyright © Cambridge University Press 2008

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