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Dynamics of modulationally unstable ionacoustic wave packets in plasmas with negative ions

Ruderman, M.S., Talipova, T. and Pelinovsky, E. (2008) Dynamics of modulationally unstable ionacoustic wave packets in plasmas with negative ions. Journal of Plasma Physics, 74. pp. 639-656. ISSN 0022-3778

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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.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 Cambridge University Press. Reproduced in accordance with the publisher's self-archiving policy.
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Mrs Megan Hobbs
Date Deposited: 23 Mar 2010 15:59
Last Modified: 08 Feb 2013 17:00
Published Version: http://dx.doi.org/10.1017/S0022377808007150
Status: Published
Publisher: Cambridge University Press
Identification Number: 10.1017/S0022377808007150
URI: http://eprints.whiterose.ac.uk/id/eprint/10514

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