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Please use this identifier to cite or link to this item: http://ktisis.cut.ac.cy/jspui/handle/10488/5439

Title: Three-fluid system short-wave instability and gap-solitons
Authors: Christodoulides, Paul
Χριστοδουλίδης, Παύλος
Grimshaw, Roger
Demetriades, Chrystalla
???metadata.dc.subject.field???: Engineering and Technology
???metadata.dc.subject.category???: Electrical Engineering, Electronic Engineering, Information Engineering
Environmental Engineering
Keywords: Envelope soliraty waves
Gap-solitons
Non-linear waves
Stratified fluid flow
Issue Date: 2011
Citation: 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.
???metadata.dc.type.*???: Article
ISSN: 19929978
???metadata.dc.link???: http://www.iaeng.org/IJAM/issues_v41/issue_3/index.html
???metadata.dc.rights???: © Copyright International Association of Engineers
???metadata.dc.subject.collaboration???: Cyprus University of Technology
Loughborough University
???metadata.dc.subject.country???: Cyprus
United Kingdom
???metadata.dc.subject.journals???: Open Access
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