Global dynamics in the simplest models of three-dimensional water-wave patterns

DOI10.1016/S0997-7546(99)80040-5zbMath0943.76011OpenAlexW2070187263WikidataQ127705991 ScholiaQ127705991MaRDI QIDQ1806538

Victor I. Shrira, Sergei I. Badulin

Publication date: 5 September 2000

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

Full work available at URL: https://doi.org/10.1016/s0997-7546(99)80040-5

zbMATH Keywords

attractorsFourier harmonicshorse-shoe pattern formationnon-conservative quintet interactionsresonant wave interactionsstructural stability of low-dimensional dynamical modelswater wave pattern formation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stability and instability of geophysical and astrophysical flows (76E20)

Cites Work

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• Chaos and the effect of noise in a model of three-wave mode coupling
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• Nonlinear three-wave interaction with non-conservative coupling
• On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
• A model of water wave ‘horse-shoe’ patterns
• On two approaches to the problem of instability of short-crested water waves
• Wave Interactions and Fluid Flows

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