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Effect of finite spectral width on the modulational instability of Alfvén waves

Published online by Cambridge University Press:  13 March 2009

P. C. Roy  and
J. C. Bhakta
P. C. Roy
Affiliation:
Department of Mathematics, University of Chittagong, Bangladesh
J. C. Bhakta
Affiliation:
Department of Mathematics, University of Chittagong, Bangladesh
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Abstract

The effect of finite spectral width on the modulational instability of Alfvén waves described by the derivative nonlinear Schrodinger equation is investigated using a method developed by Alber to derive a transport equation for the spectral density. The dispersion relation for a monochromatic wave is regained for a delta spectrum. It is shown that the growth rate and domain of modulational instability diminish as the spectral width increases for both the Gaussian and uniform spectrums.

Type
Research Article
Information
Journal of Plasma Physics , Volume 47 , Issue 3 , June 1992 , pp. 521 - 531
Copyright
Copyright © Cambridge University Press 1992

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References

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