One-dimensional weakly nonlinear model equations for Rossby waves

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dc.contributor.authorHenry, David
dc.contributor.authorIvanov, Rossen
dc.contributor.funderScience Foundation Irelanden
dc.date.accessioned2021-08-11T14:38:45Z
dc.date.available2021-08-11T14:38:45Z
dc.date.issued2014-08
dc.date.updated2021-05-20T12:26:14Z
dc.description.abstractIn this study we explore several possibilities for modelling weakly nonlinear Rossby waves in fluid of constant depth, which propagate predominantly in one direction. The model equations obtained include the BBM equation, as well as the integrable KdV and Degasperis-Procesi equations.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHenry, D., and Ivanov, R. (2014) 'One-dimensional weakly nonlinear model equations for Rossby waves', Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 34(8), pp. 3025-3034. doi: 10.3934/dcds.2014.34.3025en
dc.identifier.doi10.3934/dcds.2014.34.3025en
dc.identifier.eissn1553-5231
dc.identifier.endpage3034en
dc.identifier.issn1078-0947
dc.identifier.issued8en
dc.identifier.journaltitleDiscrete and Continuous Dynamical Systemsen
dc.identifier.startpage3025en
dc.identifier.urihttps://hdl.handle.net/10468/11728
dc.identifier.volume34en
dc.language.isoenen
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en
dc.relation.projectinfo:eu-repo/grantAgreement/SFI/SFI Research Frontiers Programme (RFP)/09/RFP/MTH2144/IE/Integrable systems in the theory of nonlinear waves in fluids/en
dc.relation.urihttps://www.aimsciences.org/article/doi/10.3934/dcds.2014.34.3025
dc.rights© 2014 American Institute of Mathematical Sciences. This accepted final draft version is made available under the CC BY-NC-ND Creative Commons Licenseen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectBBM equationen
dc.subjectKdV equationen
dc.subjectNonlinear wavesen
dc.subjectSolitonsen
dc.subjectCamassa-Holm equationen
dc.subjectLong wavesen
dc.subjectRossby wavesen
dc.subjectDegasperis-Procesi equation.en
dc.titleOne-dimensional weakly nonlinear model equations for Rossby wavesen
dc.typeArticle (peer-reviewed)en
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