Symmetry breaking in periodic and solitary gravity-capillary waves on water of finite depth

DOI10.1017/S0022112087002854zbMath0634.76016OpenAlexW2132274418MaRDI QIDQ3773556

Publication date: 1987

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112087002854

zbMATH Keywords

weakly nonlinear model water of finite depth Hamiltonian formulation of water waves bifurcation structure of gravity-capillary waves solitary wave with surface tension spontaneous symmetry-breaking bifurcation symmetric solutions, non-symmetric Wilton's ripples

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Basic methods in fluid mechanics (76M99) Classical field theories (70Sxx)

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Cites Work