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https://hdl.handle.net/20.500.14279/2591
Τίτλος: | Gap-Solitons in a three-layer stratified shear flow | Συγγραφείς: | Grimshaw, Roger Christodoulides, Paul |
metadata.dc.contributor.other: | Χριστοδουλίδης, Παύλος | Major Field of Science: | Engineering and Technology | Field Category: | Electrical Engineering - Electronic Engineering - Information Engineering | Λέξεις-κλειδιά: | Gap solitons | Ημερομηνία Έκδοσης: | 2007 | Πηγή: | 5th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena, 2007, Athens GA, U.S.A. | Link: | https://www.siam.org/Conferences/About-SIAM-Conferences | Conference: | IIMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena | Περίληψη: | 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: | https://hdl.handle.net/20.500.14279/2591 | Rights: | Copyright © 2014, Society for Industrial and Applied Mathematics | Type: | Conference Papers |
Εμφανίζεται στις συλλογές: | Δημοσιεύσεις σε συνέδρια /Conference papers or poster or presentation |
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christodoulides paul.pdf | 153.6 kB | Adobe PDF | Δείτε/ Ανοίξτε |
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