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Article: A system of coupled partial differential equations exhibiting both elevation and depression rogue wave modes

TitleA system of coupled partial differential equations exhibiting both elevation and depression rogue wave modes
Authors
Issue Date2015
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/aml
Citation
Applied Mathematics Letters, 2015, v. 47, p. 35-42 How to Cite?
AbstractAnalytical solutions are obtained for a coupled system of partial differential equations involving hyperbolic differential operators. Oscillatory states are calculated by the Hirota bilinear transformation. Algebraically localized modes are derived by taking a Taylor expansion. Physically these equations will model the dynamics of water waves, where the dependent variable (typically the displacement of the free surface) can exhibit a sudden deviation from an otherwise tranquil background. Such modes are termed ‘rogue waves’ and are associated with ‘extreme and rare events in physics’. Furthermore, elevations, depressions and ‘four-petal’ rogue waves can all be obtained by modifying the input parameters.
Persistent Identifierhttp://hdl.handle.net/10722/226327
ISSN
2015 Impact Factor: 1.659
2015 SCImago Journal Rankings: 1.141

 

DC FieldValueLanguage
dc.contributor.authorWu, C-
dc.contributor.authorChan, HN-
dc.contributor.authorChow, KW-
dc.date.accessioned2016-06-17T07:43:23Z-
dc.date.available2016-06-17T07:43:23Z-
dc.date.issued2015-
dc.identifier.citationApplied Mathematics Letters, 2015, v. 47, p. 35-42-
dc.identifier.issn0893-9659-
dc.identifier.urihttp://hdl.handle.net/10722/226327-
dc.description.abstractAnalytical solutions are obtained for a coupled system of partial differential equations involving hyperbolic differential operators. Oscillatory states are calculated by the Hirota bilinear transformation. Algebraically localized modes are derived by taking a Taylor expansion. Physically these equations will model the dynamics of water waves, where the dependent variable (typically the displacement of the free surface) can exhibit a sudden deviation from an otherwise tranquil background. Such modes are termed ‘rogue waves’ and are associated with ‘extreme and rare events in physics’. Furthermore, elevations, depressions and ‘four-petal’ rogue waves can all be obtained by modifying the input parameters.-
dc.languageeng-
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/aml-
dc.relation.ispartofApplied Mathematics Letters-
dc.rights© 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/-
dc.titleA system of coupled partial differential equations exhibiting both elevation and depression rogue wave modes-
dc.typeArticle-
dc.identifier.emailWu, C: cfwu@HKUCC-COM.hku.hk-
dc.identifier.emailChow, KW: kwchow@hku.hk-
dc.identifier.authorityChow, KW=rp00112-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.aml.2015.02.021-
dc.identifier.hkuros258700-
dc.identifier.volume47-
dc.identifier.spage35-
dc.identifier.epage42-
dc.publisher.placeUnited Kingdom-

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