Unsteady evolution of localized unidirectional deep-water wave groups
Name
PhysRevE.91.063204.pdf
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890.25 KB
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Author(s)
Cousins, Will
Sapsis, Themistoklis
Date Issued
June 2015
Journal
Physical Review E
Publisher
American Physical Society
Citation
Cousins, Will, and Themistoklis P. Sapsis. “Unsteady Evolution of Localized Unidirectional Deep-Water Wave Groups.” Phys. Rev. E 91, no. 6 (June 2015). © 2015 American Physical Society
Version
Final published version
Abstract
We study the evolution of localized wave groups in unidirectional water wave envelope equations [the nonlinear Schrodinger (NLSE) and the modified NLSE (MNLSE)]. These localizations of energy can lead to disastrous extreme responses (rogue waves). We analytically quantify the role of such spatial localization, introducing a technique to reduce the underlying partial differential equation dynamics to a simple ordinary differential equation for the wave packet amplitude. We use this reduced model to show how the scale-invariant symmetries of the NLSE break down when the additional terms in the MNLSE are included, inducing a critical scale for the occurrence of extreme waves.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.91.063204
