Near-monochromatic water waves on the sphere

DOI10.1016/S0167-2789(99)00020-2zbMath0939.76014OpenAlexW2137384127MaRDI QIDQ1809181

Panayotis Panayotaros

Publication date: 12 July 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00020-2

zbMATH Keywords

perturbation theoryHamiltonian structuretraveling wavesstanding wavesweakly nonlinear gravity water waves on sphere

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (3)

Breather solutions for inhomogeneous FPU models using Birkhoff normal forms ⋮ Stability of traveling water waves on the sphere ⋮ Stability of some waves in the dissipative Boussinesq system

Uses Software

• ODEPACK

Cites Work

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• A First Course in the Numerical Analysis of Differential Equations
• A high-order spectral method for the study of nonlinear gravity waves
• Lie series and invariant functions for analytic symplectic maps
• On Hamilton's principle for surface waves
• An integrable normal form for water waves in infinite depth

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