Recurrent solutions of Alber's equation for random water-wave fields

DOI10.1017/S0022112007009998zbMath1151.76395OpenAlexW1985721767MaRDI QIDQ3524009

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Publication date: 8 September 2008

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112007009998

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stochastic analysis applied to problems in fluid mechanics (76M35) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (9)

Sea-swell interaction as a mechanism for the generation of freak waves ⋮ Applicability of envelope model equations for simulation of narrow-spectrum unidirectional random wave field evolution: Experimental validation ⋮ Evolution of statistically inhomogeneous degenerate water wave quartets ⋮ New solutions of the C. S. Y. equation reveal increases in freak wave occurrence ⋮ Strong solutions for the Alber equation and stability of unidirectional wave spectra ⋮ Parametric subharmonic instability in a narrow-band wave spectrum ⋮ Nonlinear Wave Interaction in Coastal and Open Seas: Deterministic and Stochastic Theory ⋮ On the Alber equation for shoaling water waves ⋮ What makes the Peregrine soliton so special as a prototype of freak waves?

Cites Work

• Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves
• On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
• Long-time behaviour of a random inhomogeneous field of weakly nonlinear surface gravity waves
• Long-time evolution of an unstable water-wave train
• Dynamics and Modelling of Ocean Waves
• Evolution of a narrow-band spectrum of random surface gravity waves
• Role of non-resonant interactions in the evolution of nonlinear random water wave fields

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