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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
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.
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- Copyright © Cambridge University Press 1992
References
REFERENCES
Faddeyeva, V. N. & Terent'ev, N. M. 1961 Tables of Values of the Function w(z) = exp (— z 2) [1 + (2i/π) ∫xo exp (t 2) dt] for Complex Argument. Pergamon.Google Scholar
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