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Title: Three-fluid system short-wave instability and gap-solitons
Authors: Grimshaw, Roger 
Demetriades, Chrystalla 
Christodoulides, Paul 
Keywords: Envelope soliraty waves
Non-linear waves
Stratified fluid flow
Issue Date: 2011
Source: IAENG International Journal of Applied Mathematics, 2011, Volume 41, Issue 3, Pages 235-240.
Abstract: The short-wave instability arising due to the resonace between two wave modes for a three-fluid system of a stratified and sheer flow is addressed. A weakly nonlinear analysis leads to a class of solitary waves, widely known as gap-solitons in other physical contexts. The essential ingredients are the existence of a spectral gap between two branches of the dispersion relation, and the development of a set of envelope equations to describe weakly nonlinear waves, whose carrier frequency and wavenumber belong to the centre of this gap. For the special case where the gap-soliton is a steady travelling wave of the full fluid system, we show that there is large class of such gap-solitons.
ISSN: 19929978
Rights: © Copyright International Association of Engineers
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