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Τίτλος: Steady gap solitons in a coupled Korteweg-de Vries system: A dynamical systems approach
Συγγραφείς: Grimshaw, Roger 
Christodoulides, Paul 
Major Field of Science: Engineering and Technology
Field Category: Electrical Engineering - Electronic Engineering - Information Engineering
Λέξεις-κλειδιά: Gap solitons;Korteweg-de Vries equations;Normal forms;Solitary waves
Ημερομηνία Έκδοσης: 15-Μαΐ-2010
Πηγή: Physica D: Nonlinear Phenomena, 2010, vol. 239, no. 10, pp. 635-639
Volume: 239
Issue: 10
Start page: 635
End page: 639
Περιοδικό: Physica D: Nonlinear Phenomena 
Περίληψη: In this article we search for steady gap soliton solutions of a set of coupled Korteweg-de Vries equations. These solutions arise whenever there is a narrow gap in the linear spectrum. For small amplitudes we use a dynamical systems approach combined with a normal form analysis to find a canonical equation set. When truncated at the cubic order in amplitude we can exhibit explicit solutions which agree with those found earlier by an asymptotic analysis. We argue that two of these solutions persist under perturbation by the higher-order terms.
URI: https://hdl.handle.net/20.500.14279/4096
ISSN: 01672789
DOI: 10.1016/j.physd.2010.01.016
Rights: © Elsevier
Type: Article
Affiliation: Loughborough University 
Cyprus University of Technology 
Publication Type: Peer Reviewed
Εμφανίζεται στις συλλογές:Άρθρα/Articles

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