Nonlinear analysis and simulations of measured freak wave time series

DOI10.1016/j.euromechflu.2006.03.005zbMath1101.76014OpenAlexW2040721929MaRDI QIDQ2432805

Alexey V. Slunyaev

Publication date: 25 October 2006

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2006.03.005

zbMATH Keywords

inverse scattering transformspectral analysisenvelope solitonself-modulation

Mathematics Subject Classification ID

Experimental work for problems pertaining to fluid mechanics (76-05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (4)

Long time interaction of envelope solitons and freak wave formations ⋮ What makes the Peregrine soliton so special as a prototype of freak waves? ⋮ Extreme wave formation in unidirectional sea due to stochastic wave phase dynamics ⋮ On the highest non-breaking wave in a group: fully nonlinear water wave breathers versus weakly nonlinear theory

Cites Work

• Nonlinear wave focusing on water of finite depth
• The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
• Physical mechanisms of the rogue wave phenomenon.
• Homoclinic chaos increases the likelihood of rogue wave formation
• Water waves, nonlinear Schrödinger equations and their solutions
• Predicting rogue waves in random oceanic sea states
• Extreme wave events in directional, random oceanic sea states
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• The Perturbed Plane-Wave Solutions of the Cubic Schrödinger Equation
• The effect of non-uniformity of modulated wavepackets on the mechanism of Benjamin–Feir instability
• Probability distributions of surface gravity waves during spectral changes

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