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|Title:||Gap-Solitons in a three-layer stratified shear flow||Authors:||Grimshaw, Roger
|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.||Link:||http://www.siam.org/news/general.php?id=1012||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.||URI:||http://ktisis.cut.ac.cy/handle/10488/3373||Rights:||Copyright © 2014, Society for Industrial and Applied Mathematics||Type:||Conference Papers|
|Appears in Collections:||Δημοσιεύσεις σε συνέδρια/Conference papers|
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