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Title: Steady gap solitons in a coupled Korteweg-de Vries system: A dynamical systems approach
Authors: Grimshaw, Roger
Christodoulides, Paul
Scientific Field: Engineering and Technology
Scientific Field: Electrical Engineering, Electronic Engineering, Information Engineering
Subjects: Gap solitons
Korteweg-de Vries equations
Normal forms
Solitary waves
Issue Date: 2010
Publisher: Elsevier
Citation: Physica D: Nonlinear Phenomena, 2010, Volume 239, Issue 10, Pages 635-639
Abstract: 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.
Type: Article
ISSN: 01672789
Rights: © 2010 Elsevier B.V. All rights reserved.
Affiliation: Loughborough University
Cyprus University of Technology
Journal type: peer reviewed
Country: United Kingdom
Journal Type: Subscription Journal
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