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The influence of electron inertia on the modulational instability of ion-acoustic waves

Published online by Cambridge University Press:  13 March 2009

E. J. Parkes
E. J. Parkes
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow G1 1XH, U.K.
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Abstract

The influence of electron inertia, ion streaming and weak relativistic effects on the modulational instability of ion-acoustic waves in a collisionless unmagnetized plasma is investigated. The derivative expansion method is used to derive a nonlinear Schrödinger equation, from which an instability criterion is deduced. When electron inertia is ignored, ion streaming and weak relativistic effects have little effect on the instability criterion. It is shown that when electron inertia is taken into account, the instability criterion is sensitive to weakly relativistic ion streaming, but not to the ratio of electron mass to ion mass.

Type
Research Article
Information
Journal of Plasma Physics , Volume 49 , Issue 3 , June 1993 , pp. 395 - 402
Copyright
Copyright © Cambridge University Press 1993

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