High-order formulation of the water-wave problem

DOI10.1016/0167-2789(93)90072-9zbMath0785.76011OpenAlexW2085675599MaRDI QIDQ1313341

Michael Glozman, Yehuda Agnon, Michael Stiassnie

Publication date: 26 January 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90072-9

zbMATH Keywords

chaosPoincaré sectionsevolution equationsresonanceHamiltonian formulationstanding wavesdiscrete wave modes

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (5)

Gravity waves on the surface of the sphere ⋮ Different forms for nonlinear standing waves in deep water ⋮ Boundary integral methods for multicomponent fluids and multiphase materials. ⋮ The 1:2 resonance with \(O(2)\) symmetry and its applications in hydrodynamics ⋮ Periodic solutions for a complex Hamiltonian system: New standing water-waves

Cites Work

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• On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory
• On modifications of the Zakharov equation for surface gravity waves
• Nonlinear Dynamics of Deep-Water Gravity Waves
• Impulse, Flow Force and Variational Principles
• A high-order spectral method for the study of nonlinear gravity waves
• Oscillatory spatially periodic weakly nonlinear gravity waves on deep water
• On Hamilton's principle for surface waves

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