On steady weakly nonlinear wave envelopes in deep water

M. Magnani, M. Onorato, D. Gunn, M. Rudman, B. Kibler, N. Akhmediev, T. Waseda, A. Chabchoub

Research output: Chapter in Book/Report/Conference proceedingConference PaperOther


The dynamics of weakly nonlinear wave packets in deep water can be for instance described by the nonlinear Schrödinger equation (NLS). As a deterministic and integrable evolution equation, the NLS enables to determine exact initial or boundary conditions to study the weakly nonlinear motion of a wave packet of interest. Among a vast family of solutions, we will focus our attention on the hydrodynamics of stationary deep water wave packets. The latter can be for instance described by means of hyperbolic or elliptic functions (sech, cnoidal & dnoidal expressions). Experiments have been conducted in different uni-directional wave facilities in order to validate the weakly nonlinear approach. The experimental wave profiles show a very good agreement with NLS predictions for various wave steepness values. The generic effect of wave dissipation in the considered framework will be discussed as well.

Original languageEnglish
Title of host publicationProceedings of the 21st Australasian Fluid Mechanics Conference
EditorsTimothy C.W. Lau, Richard M. Kelso
Place of PublicationPerth WA Australia
PublisherAustralasian Fluid Mechanics Society
Number of pages4
ISBN (Print)9780646597843
Publication statusPublished - 2018
EventAustralasian Fluid Mechanics Conference 2018 - Adelaide Convention Centre, Adelaide, Australia
Duration: 10 Dec 201813 Dec 2018
Conference number: 21st
http://www.afms.org.au/proceedings/21.html (Proceedings)


ConferenceAustralasian Fluid Mechanics Conference 2018
Abbreviated titleAFMC 2018
Internet address

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