On slowly-varying Stokes waves
From MaRDI portal
Publication:5626370
DOI10.1017/S0022112070000988zbMath0221.76005MaRDI QIDQ5626370
Publication date: 1970
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Stokes and related (Oseen, etc.) flows (76D07)
Related Items
Extended time-dependent mild-slope and wave-action equations for wave–bottom and wave–current interactions, Inclusion of dispersive terms in the averaged Lagrangian method: turning to the complex amplitude of envelope, A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation, Derivation of the third-order evolution equations for weakly nonlinear water waves propagating over uneven bottoms, Modulational stability and instability of Korteweg-de Vries, Boussinesq, and Stokes nonlinear wavetrains, Numerical techniques on improving computational efficiency of spectral boundary integral method, A dispersive regularization of the modulational instability of stratified gravity waves, Some special solutions to the hyperbolic NLS equation, Theoretical analysis of surface waves shoaling and breaking on a sloping bottom. II: nonlinear waves, Capillary–gravity waves of solitary type on deep water, Effects of slowly varying depth and current on the evolution of a Stokes wavepacket, A complementary mild-slope equation derived using higher-order depth function for waves obliquely propagating on sloping bottom, On certain properties of the compact Zakharov equation, Long waves induced by short-wave groups over an uneven bottom, On the resonant interaction between a surface wave and a weak surface current, Fourth order evolution equations and stability analysis for Stokes waves on arbitrary water depth, Propagation of long waves over water of slowly varying depth, On Lagrangian drift in shallow-water waves on moderate shear, Finite-amplitude gravity waves in the atmosphere: travelling wave solutions, Wave modulation: the geometry, kinematics, and dynamics of surface-wave packets, Focusing deep-water surface gravity wave packets: wave breaking criterion in a simplified model, A perturbation method for non-linear dispersive waves with an application to water waves, Wave interactions - the evolution of an idea, Nonlinear excitation of long-trapped waves by a group of short swells, Interaction between a Stokes wave packet and a solitary wave, Random waves in water of variable depth, Nonlinear waves in rotating magnetohydrodynamics, Nonelliptic Schrödinger equations
Cites Work
- Non-linear dispersion of Stokes waves
- Dispersion of non-linear shallow water waves
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- The Propagation of Nonlinear Wave Envelopes
- The propagation of electromagnetic waves through a stratified medium and its W.K.B. approximation for oblique incidence
