Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.14279/4101
Title: | Three-fluid system short-wave instability and gap-solitons | Authors: | Grimshaw, Roger Demetriades, Chrystalla Christodoulides, Paul |
Major Field of Science: | Engineering and Technology | Field Category: | Electrical Engineering - Electronic Engineering - Information Engineering | Keywords: | Envelope soliraty waves;Gap-solitons;Non-linear waves;Stratified fluid flow | Issue Date: | Aug-2011 | Source: | IAENG International Journal of Applied Mathematics, 2011, vol. 41, no. 3, pp. 235-240. | Volume: | 41 | Issue: | 3 | Start page: | 235 | End page: | 240 | Link: | http://www.iaeng.org/IJAM/issues_v41/issue_3/index.html | Journal: | IAENG International Journal of Applied Mathematics | 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. | URI: | https://hdl.handle.net/20.500.14279/4101 | ISSN: | 19929986 | Rights: | © International Association of Engineers | Type: | Article | Affiliation : | Cyprus University of Technology Loughborough University |
Publication Type: | Peer Reviewed |
Appears in Collections: | Άρθρα/Articles |
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