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- Title
Study on the behavior of weakly nonlinear water waves in the presence of random wind forcing.
- Authors
Dostal, Leo; Hollm, Marten; Kreuzer, Edwin
- Abstract
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
WATER waves; WIND pressure; NONLINEAR waves; ROGUE waves; NONLINEAR Schrodinger equation; MULTIPLE scale method
- Publication
Nonlinear Dynamics, 2020, Vol 99, Issue 3, p2319
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-019-05416-5