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A note on the application of Whitham's method to nonlinear waves in dispersive media

Published online by Cambridge University Press:  13 March 2009

K. B. Dysthe
K. B. Dysthe
Affiliation:
University of Tromsø, Norway
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Abstract

In this paper, a method developed by Whitham for obtaining equations governing the slow variation of finite-amplitude wave trains, is slightly modified. The relevant equations describing wave-wave interaction, and self-action are derived. The stability of a finite-amplitude wave train is treated in two different ways. The possibility of having a ‘solitary modulation’ on a finite-amplitude wave train is pointed out.

Type
Research Article
Information
Journal of Plasma Physics , Volume 11 , Issue 1 , February 1974 , pp. 63 - 76
Copyright
Copyright © Cambridge University Press 1974

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References

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