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Title: Gap-solitons in a three-layered stratified flow
Authors: Grimshaw, Roger 
Christodoulides, Paul 
Keywords: Gap solitons
Envelope solitary waves
Stratified fluid flow
Issue Date: 2008
Publisher: Elsevier B.V.
Source: Wave Motion. Volume 45, Issue 6, June 2008, Pages 758-769
Abstract: In this paper, we give an explicit asymptotic construction of a class of solitary waves, widely known as gap-solitons in other physical contexts, for a certain three-layered fluid flow. 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. Here we describe the gap-soliton solutions to this set of envelope equations. For the special case of particular interest when the envelope and carrier speeds are identical, so that 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: 0165-2125
DOI: 10.1016/j.wavemoti.2007.12.001
Rights: © 2008 Elsevier B.V.
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