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Study on the behavior of weakly nonlinear water waves in the presence of random wind forcing
Publikationstyp
Journal Article
Date Issued
2020-02-01
Sprache
English
Author(s)
Institut
TORE-URI
Journal
Volume
99
Issue
3
Start Page
2319
End Page
2338
Citation
Nonlinear Dynamics 3 (99): 2319-2338 (2020-02-01)
Publisher DOI
Scopus ID
Publisher
Springer Science + Business Media B.V
Peer Reviewed
true
Specific solutions of the nonlinear Schrödinger equation, such as the Peregrine breather, are considered to be prototypes of extreme or freak waves in the oceans. An important question is whether these solutions also exist in the presence of gusty wind. Using the method of multiple scales, a nonlinear Schrödinger equation is obtained for the case of wind-forced weakly nonlinear deep water waves. Thereby, the wind forcing is modeled as a stochastic process. This leads to a stochastic nonlinear Schrödinger equation, which is calculated for different wind regimes. For the case of wind forcing which is either random in time or random in space, it is shown that breather-type solutions such as the Peregrine breather occur even in strong gusty wind conditions.
Subjects
Extreme waves
Nonlinear Schrödinger equation
Random wind
Stochastic partial differential equations