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dc.contributor.authorAndrade, D
dc.contributor.authorStuhlmeier, R
dc.date.accessioned2023-08-01T10:13:56Z
dc.date.available2023-08-01T10:13:56Z
dc.date.issued2023-09
dc.identifier.issn0997-7546
dc.identifier.issn1873-7390
dc.identifier.urihttps://pearl.plymouth.ac.uk/handle/10026.1/21116
dc.description.abstract

The stability of waves in deep water has classically been approached via linear stability analysis, with various model equations, such as the nonlinear Schrödinger equation, serving as points of departure. Some of the most well-studied instabilities involve the interaction of four waves – so called Type I instabilities – or five waves – Type II instabilities. A unified description of four and five wave interaction can be provided by the reduced Hamiltonian derived by Krasitskii (1994). Exploiting additional conservation laws, the discretised Hamiltonian may be used to shed light on these four and five wave instabilities without restrictions on spectral bandwidth. We derive equivalent autonomous, planar dynamical systems which allow for straightforward insight into the emergence of instability and the long time dynamics. They also yield new steady-state solutions, as well as discrete breathers associated with heteroclinic orbits in the phase space.

dc.format.extent320-336
dc.languageen
dc.publisherElsevier BV
dc.subjectWater waves
dc.subjectWave-wave interaction
dc.subjectWeakly-nonlinear surface waves
dc.subjectInstability
dc.subjectHamiltonian systems
dc.titleInstability of waves in deep water — A discrete Hamiltonian approach
dc.typejournal-article
dc.typeArticle
plymouth.author-urlhttps://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:001055693300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11bb513d99f797142bcfeffcc58ea008
plymouth.volume101
plymouth.publisher-urlhttp://dx.doi.org/10.1016/j.euromechflu.2023.06.008
plymouth.publication-statusPublished
plymouth.journalEuropean Journal of Mechanics - B/Fluids
dc.identifier.doi10.1016/j.euromechflu.2023.06.008
plymouth.organisational-group|Plymouth
plymouth.organisational-group|Plymouth|Faculty of Science and Engineering
plymouth.organisational-group|Plymouth|Faculty of Science and Engineering|School of Engineering, Computing and Mathematics
plymouth.organisational-group|Plymouth|REF 2021 Researchers by UoA
plymouth.organisational-group|Plymouth|Users by role
plymouth.organisational-group|Plymouth|Users by role|Academics
plymouth.organisational-group|Plymouth|REF 2021 Researchers by UoA|UoA10 Mathematical Sciences
plymouth.organisational-group|Plymouth|REF 2021 Researchers by UoA|ZZZ Extended UoA 10 - Mathematical Sciences
plymouth.organisational-group|Plymouth|Users by role|Researchers in ResearchFish submission
dcterms.dateAccepted2023-06-28
dc.date.updated2023-08-01T10:13:47Z
dc.rights.embargodate2023-8-2
dc.identifier.eissn1873-7390
dc.rights.embargoperiodforever
rioxxterms.versionofrecord10.1016/j.euromechflu.2023.06.008


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