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The theory of nonlinear ion-acoustic waves revisited

Published online by Cambridge University Press:  13 March 2009

W. Malfliet  and
E. Wieërs
W. Malfliet
Affiliation:
Department of Physics, University of Antwerp (UIA), B-2610 Wilrijk, Belgium
E. Wieërs
Affiliation:
Department of Physics, University of Antwerp (UIA), B-2610 Wilrijk, Belgium
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Abstract

The basic set of equations describing nonlinear ion-acoustic waves in a cold collisionless plasma, in the limit of long wavelengths, is reconsidered. First, a travelling-wave solution is found up to third order by means of a straightforward perturbation approach based on the smallness of the wavenumber. As a result, a positive dressed solitary wave shows up, which is larger, taller and faster than the KdV soliton, the first-order result. Furthermore, the accuracy of this approach is tested and compared with previous result. Secondly, the reductive perturbation techique to study higher-order corrections is revised and adapted to the present problem.

Type
Research Article
Information
Journal of Plasma Physics , Volume 56 , Issue 3: Special Issue: Honour of David Montgomery , December 1996 , pp. 441 - 450
Copyright
Copyright © Cambridge University Press 1996

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