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Title: Gap-Solitons in a three-layer stratified shear flow
Authors: Grimshaw, Roger 
Christodoulides, Paul 
Keywords: Gap solitons
Category: Electrical Engineering - Electronic Engineering - Information Engineering
Field: Engineering and Technology
Issue Date: 2007
Publisher: Society for Industrial and Applied Mathematics
Source: 5th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena, 2007, Athens GA, U.S.A.
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.
Rights: Copyright © 2014, Society for Industrial and Applied Mathematics
Type: Conference Papers
Appears in Collections:Δημοσιεύσεις σε συνέδρια/Conference papers

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