A high-order cnoidal wave theory

DOI10.1017/S0022112079000975zbMath0414.76015OpenAlexW2168062292MaRDI QIDQ3049985

J. D. Fenton

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1017/s0022112079000975

zbMATH Keywords

approximationsshallow-water theorycomputer programsfifth orderdeep-water theoryhigh-order cnoidal waveJacobian elliptic function parameterLaitone's second-order solutionlong-wave phenomenaRayleigh-Boussinesq seriestables of coefficients

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25)

Related Items (14)

Application of boundary integral equation method for modelling unsteady nonlinear water waves ⋮ Second-order cnoidal waves at the free surface and interface of a two- fluid system ⋮ Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods ⋮ Novel traveling waves solutions for nonlinear delayed dynamical neural networks with leakage term ⋮ Steady periodic waves over a planar seabed: a global characterization ⋮ The bifurcation of steady gravity water waves in (R, S) parameter space ⋮ On direct methods in water-wave theory ⋮ From Stokes to cnoidal wave ⋮ Crest speeds of unsteady surface water waves ⋮ New exact relations for easy recovery of steady wave profiles from bottom pressure measurements ⋮ Finite-amplitude steady-state wave groups with multiple near-resonances in finite water depth ⋮ A Fourier-Boussinesq method for nonlinear water waves ⋮ Do peaked solitary water waves indeed exist? ⋮ An unsteady 3D isogeometrical boundary element analysis applied to nonlinear gravity waves

Cites Work

• On the mass, momentum, energy and circulation of a solitary wave

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