2011/10/24 by E. van Groesen, van Groesen, E., Andonowati +2
Earth and Planetary Sciences · Engineering · #35Q55 #76B15 #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Ocean Waves and Remote Sensing
paper · pdf · doi:10.48550/arxiv.1110.5120
openalex publication_date 2011/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Different from statistical considerations on stochastic wave fields, this paper aims to contribute to the understanding of (some of) the underlying physical phenomena that may give rise to the occurrence of extreme, rogue, waves. To that end a specific deterministic wavefield is investigated that develops extreme waves from a uniform background. For this explicitly described nonlinear extension of the Benjamin-Feir instability, the soliton on finite background of the NLS equation, the global down-stream evolving distortions, the time signal of the extreme waves, and the local evolution near the extreme position are investigated. As part of the search for conditions to obtain extreme waves, we show that the extreme wave has a specific optimization property for the physical energy, and comment on the possible validity for more realistic situations.