On Wilton ripples. II: Rigorous results

DOI10.1007/BF00280641zbMath0567.76027OpenAlexW1990211117MaRDI QIDQ1060092

Marvin Shinbrot, John Reeder

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00280641

zbMATH Keywords

perturbationbifurcationgravity-capillary wavesBond numbercombination wavesexistence of Wilton ripples

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

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• Some exact solutions of the nonlinear problem of water waves
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• Water Waves Over Periodic Bottoms in Three Dimensions
• Steady Gravity-Capillary Waves on Deep Water-II. Numerical Results for Finite Amplitude
• Three-dimensional, nonlinear wave interaction in water of constant depth