DC FieldValueLanguage
dc.contributor.authorChabchoub, Amin-
dc.contributor.authorHoffmann, Norbert-
dc.contributor.authorTobisch, Elena-
dc.contributor.authorWaseda, Takuji-
dc.contributor.authorAkhmediev, Nail N.-
dc.date.accessioned2019-06-04T11:08:37Z-
dc.date.available2019-06-04T11:08:37Z-
dc.date.issued2019-08-
dc.identifier.citationWave Motion (90): 168-174 (2019-08)de_DE
dc.identifier.issn0165-2125de_DE
dc.identifier.urihttp://hdl.handle.net/11420/2732-
dc.description.abstractOne physical mechanism that is responsible for the focusing of uni-directional water waves is the modulation instability. This occurs when side-bands around the main frequency are excited either deterministically or randomly and subsequently grow exponentially. In physical space, the periodically-perturbed wave group can reach significant wave amplifications and in the case of infinite modulation period even three times the initial amplitude of the regular Stokes wave train. These periodic wave groups propagate in deep-water with a group velocity half the wave's phase speed. In this experimental study, we investigate the dynamics of modulationally unstable wave groups that propagate with a velocity that is higher than the packet's group velocity in deep-water. It is shown that when this additional velocity to the wave group is marginal, a very good agreement with nonlinear Schrödinger hydrodynamics is reached at all stages of propagation and the characteristic wave energy cascade remains symmetric and stationary. Otherwise, a significant deviation is observed only at the stage of large wave focusing of the isolated wave packet. In this case, the wave field experiences an almost perfect return to the initial conditions after the compression, a particular dynamics also known as the Fermi–Pasta–Ulam paradox.en
dc.description.sponsorshipN.H. acknowledges the support from the Deutsche Forschungsgemeinschaft (DFG) under the project Ho 3852-10/1.de_DE
dc.language.isoende_DE
dc.relation.ispartofWave Motionde_DE
dc.titleDrifting breathers and Fermi–Pasta–Ulam paradox for water wavesde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishOne physical mechanism that is responsible for the focusing of uni-directional water waves is the modulation instability. This occurs when side-bands around the main frequency are excited either deterministically or randomly and subsequently grow exponentially. In physical space, the periodically-perturbed wave group can reach significant wave amplifications and in the case of infinite modulation period even three times the initial amplitude of the regular Stokes wave train. These periodic wave groups propagate in deep-water with a group velocity half the wave's phase speed. In this experimental study, we investigate the dynamics of modulationally unstable wave groups that propagate with a velocity that is higher than the packet's group velocity in deep-water. It is shown that when this additional velocity to the wave group is marginal, a very good agreement with nonlinear Schrödinger hydrodynamics is reached at all stages of propagation and the characteristic wave energy cascade remains symmetric and stationary. Otherwise, a significant deviation is observed only at the stage of large wave focusing of the isolated wave packet. In this case, the wave field experiences an almost perfect return to the initial conditions after the compression, a particular dynamics also known as the Fermi–Pasta–Ulam paradox.de_DE
tuhh.publisher.doi10.1016/j.wavemoti.2019.05.001-
tuhh.publication.instituteStrukturdynamik M-14de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
tuhh.institute.germanStrukturdynamik M-14de
tuhh.institute.englishStrukturdynamik M-14de_DE
tuhh.gvk.hasppnfalse-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.volume90de_DE
tuhh.container.startpage168de_DE
tuhh.container.endpage174de_DE
item.creatorGNDChabchoub, Amin-
item.creatorGNDHoffmann, Norbert-
item.creatorGNDTobisch, Elena-
item.creatorGNDWaseda, Takuji-
item.creatorGNDAkhmediev, Nail N.-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.grantfulltextnone-
item.languageiso639-1en-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.creatorOrcidChabchoub, Amin-
item.creatorOrcidHoffmann, Norbert-
item.creatorOrcidTobisch, Elena-
item.creatorOrcidWaseda, Takuji-
item.creatorOrcidAkhmediev, Nail N.-
item.fulltextNo Fulltext-
crisitem.author.deptMechanik und Meerestechnik M-13-
crisitem.author.deptStrukturdynamik M-14-
crisitem.author.orcid0000-0003-2074-3170-
crisitem.author.orcid0000-0001-5403-5303-
crisitem.author.orcid0000-0001-7294-8958-
crisitem.author.parentorgStudiendekanat Maschinenbau-
crisitem.author.parentorgStudiendekanat Maschinenbau-
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