The bifurcation of steady gravity water waves in (R, S) parameter space

DOI10.1017/S0022112095004101zbMath0872.76009MaRDI QIDQ4887856

S. H. Doole, John Norbury

Publication date: 19 October 1997

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

zbMATH Keywords

stream functionStokes wavespressure headflow forceregular expansionslarge-amplitude branchesnormalized mass fluxsubcritical stream

Mathematics Subject Classification ID

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

Cites Work

• A nonlinear Hamiltonian structure for the Euler equations
• Symmetry and the bifurcation of capillary-gravity waves
• A high-order cnoidal wave theory
• The Computation of Water Waves Modelled by Nekrasov’s Equation
• Analysis and Computation of Symmetry-Breaking Bifurcation and Scaling Laws Using Group-Theoretic Methods
• On the flow in channels when rigid obstacles are placed in the stream
• The stability of solitary waves
• The stability of steep gravity waves. Part 2
• An explicit Hamiltonian formulation of surface waves in water of finite depth
• Uniformly travelling water waves from a dynamical systems viewpoint: some insights into bifurcations from Stokes’ family
• Water waves and conjugate streams
• Theory of the almost-highest wave. Part 2. Matching and analytic extension
• Momentum disturbances and wave trains
• Hamiltonian structure, symmetries and conservation laws for water waves
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves
• Verification of the Benjamin–Lighthill conjecture about steady water waves

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