Predicting rogue waves in random oceanic sea states
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Publication:3554887
DOI10.1063/1.1872093zbMath1187.76235arXivnlin/0411025OpenAlexW2034326727MaRDI QIDQ3554887
Alvaro L. Islas, Constance M. Schober
Publication date: 22 April 2010
Published in: Physics of Fluids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0411025
Related Items (16)
Extreme events in dynamical systems and random walkers: a review ⋮ Interacting nonlinear wave envelopes and rogue wave formation in deep water ⋮ Solution of a nonlinear Schrödinger equation in the form of two-phase freak waves ⋮ Characterizing JONSWAP rogue waves and their statistics via inverse spectral data ⋮ Melnikov analysis and inverse spectral analysis of rogue waves in deep water ⋮ Nonlinear analysis and simulations of measured freak wave time series ⋮ An explicit spectral collocation method using nonpolynomial basis functions for the time‐dependent Schrödinger equation ⋮ Efficiency of exponential time differencing schemes for nonlinear Schrödinger equations ⋮ Linear instability of the Peregrine breather: numerical and analytical investigations ⋮ What makes the Peregrine soliton so special as a prototype of freak waves? ⋮ Rogue waves, dissipation, and downshifting ⋮ Extreme wave formation in unidirectional sea due to stochastic wave phase dynamics ⋮ Reduced-order precursors of rare events in unidirectional nonlinear water waves ⋮ Exciting extreme events in the damped and AC-driven NLS equation through plane-wave initial conditions ⋮ On the highest non-breaking wave in a group: fully nonlinear water wave breathers versus weakly nonlinear theory ⋮ The effects of wind and nonlinear damping on rogue waves and permanent downshift
Cites Work
- Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
- The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
- A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water
- Physical mechanisms of the rogue wave phenomenon.
- Homoclinic chaos increases the likelihood of rogue wave formation
- On weakly nonlinear modulation of waves on deep water
- Long-time dynamics of the modulational instability of deep water waves
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