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Article: Rogue waves for a long wave-short wave resonance model with multiple short waves

TitleRogue waves for a long wave-short wave resonance model with multiple short waves
Authors
Issue Date2016
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0924-090X
Citation
Nonlinear Dynamics, 2016, v. 85 n. 4, p. 2827-2841 How to Cite?
AbstractA resonance between long and short waves will occur if the phase velocity of the long wave matches the group velocity of the short wave. In this paper, a system with two distinct packets of short waves in resonance with a common long wave is studied. Breather solutions are calculated by the Hirota bilinear method, and rogue wave modes (unexpectedly large displacements from an otherwise calm background state) are obtained from the breathers through a long wave limit. The location and magnitude of the maximum displacement are determined quantitatively. Remarkably this coupling enables a rogue wave to attain a larger magnitude than that in a configuration with just one single short wave component. Furthermore, as the wavenumber varies, a transition from an elevation rogue wave to a depression rogue wave is possible. This transformation of the wave profile is elucidated in terms of the properties of the carrier envelope. The connection with the modulation instability of the background plane wave is investigated. Some numerical simulations are performed to demonstrate both the robust nature and unstable behavior for these rogue waves, depending on the parameters of the system. Dynamics and properties of rogue waves with three or more short wave components are also considered.
Persistent Identifierhttp://hdl.handle.net/10722/234062
ISSN
2015 Impact Factor: 3.0
2015 SCImago Journal Rankings: 1.511

 

DC FieldValueLanguage
dc.contributor.authorChan, HN-
dc.contributor.authorDing, E-
dc.contributor.authorKedziora, DJ-
dc.contributor.authorGrimshaw, R-
dc.contributor.authorChow, KW-
dc.date.accessioned2016-10-14T06:58:49Z-
dc.date.available2016-10-14T06:58:49Z-
dc.date.issued2016-
dc.identifier.citationNonlinear Dynamics, 2016, v. 85 n. 4, p. 2827-2841-
dc.identifier.issn0924-090X-
dc.identifier.urihttp://hdl.handle.net/10722/234062-
dc.description.abstractA resonance between long and short waves will occur if the phase velocity of the long wave matches the group velocity of the short wave. In this paper, a system with two distinct packets of short waves in resonance with a common long wave is studied. Breather solutions are calculated by the Hirota bilinear method, and rogue wave modes (unexpectedly large displacements from an otherwise calm background state) are obtained from the breathers through a long wave limit. The location and magnitude of the maximum displacement are determined quantitatively. Remarkably this coupling enables a rogue wave to attain a larger magnitude than that in a configuration with just one single short wave component. Furthermore, as the wavenumber varies, a transition from an elevation rogue wave to a depression rogue wave is possible. This transformation of the wave profile is elucidated in terms of the properties of the carrier envelope. The connection with the modulation instability of the background plane wave is investigated. Some numerical simulations are performed to demonstrate both the robust nature and unstable behavior for these rogue waves, depending on the parameters of the system. Dynamics and properties of rogue waves with three or more short wave components are also considered.-
dc.languageeng-
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0924-090X-
dc.relation.ispartofNonlinear Dynamics-
dc.titleRogue waves for a long wave-short wave resonance model with multiple short waves-
dc.typeArticle-
dc.identifier.emailChow, KW: kwchow@hku.hk-
dc.identifier.authorityChow, KW=rp00112-
dc.identifier.doi10.1007/s11071-016-2865-3-
dc.identifier.hkuros267338-
dc.identifier.volume85-
dc.identifier.issue4-
dc.identifier.spage2827-
dc.identifier.epage2841-
dc.publisher.placeNetherlands-

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