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On the existence of solitary waves for Boussinesq type equations and a new conservative model.

hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorBELLEC, Stevan
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCOLIN, Mathieu
dc.date.accessioned2024-04-04T03:13:36Z
dc.date.available2024-04-04T03:13:36Z
dc.date.issued2016
dc.identifier.issn1079-9389
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193960
dc.description.abstractEnIn this paper, we present a long time existence theory for a new enhanced Boussinesq-type system with constant bathymetry written in a conservative form. We also prove the existence of solitary wave for a large class of asymptotic models, including Beji-Nadaoka, Madsen-Sorensen and Nwogu equations. Furthermore, we give a procedure to calculate numerically these particular solutions and we present some effective computations.
dc.language.isoen
dc.publisherKhayyam Publishing
dc.title.enOn the existence of solitary waves for Boussinesq type equations and a new conservative model.
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalAdvances in Differential Equations
bordeaux.page945-976
bordeaux.volume21
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue9,10
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01378585
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01378585v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Advances%20in%20Differential%20Equations&rft.date=2016&rft.volume=21&rft.issue=9,10&rft.spage=945-976&rft.epage=945-976&rft.eissn=1079-9389&rft.issn=1079-9389&rft.au=BELLEC,%20Stevan&COLIN,%20Mathieu&rft.genre=article


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