Appearance and disappearance of non-symmetric progressive capillary-gravity waves of deep water

DOI10.1007/S13160-012-0070-4zbMath1427.76045OpenAlexW2048374837MaRDI QIDQ691996

Chika Shimizu, Mayumi Shōji

Publication date: 4 December 2012

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-012-0070-4

zbMATH Keywords

bifurcationprogressive wavecapillary-gravity wavenon-symmetric wave

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Basic methods in fluid mechanics (76M99)

Related Items (5)

Investigation of symmetry breaking in periodic gravity–capillary waves ⋮ Stationary water waves on rotational flows of two vortical layers ⋮ On the structure of steady parasitic gravity-capillary waves in the small surface tension limit ⋮ Model equations for three-dimensional nonlinear water waves under tangential electric field ⋮ Fully nonlinear capillary-gravity solitary waves under a tangential electric field. II: Dynamics

Cites Work

• Unnamed Item
• The resonance of modes in the problem of two-dimensional capillary-gravity waves
• Surface waves of finite depth
• An exact solution for progressive capillary waves of arbitrary amplitude
• Weakly nonlinear non-symmetric gravity waves on water of finite depth
• Non-symmetric gravity waves on water of infinite depth
• Oscillatory spatially periodic weakly nonlinear gravity waves on deep water

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