Dostal, LeoLeoDostalHollm, MartenMartenHollmKreuzer, EdwinEdwinKreuzer2020-01-032020-01-032020-02-01Nonlinear Dynamics 3 (99): 2319-2338 (2020-02-01)http://hdl.handle.net/11420/4268Specific 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.en0924-090X2020323192338Springer Science + Business Media B.VExtreme wavesNonlinear Schrödinger equationRandom windStochastic partial differential equationsJournal Article10.1007/s11071-019-05416-5Journal Article