The Propagation of Long Large Amplitude Internal Waves

DOI10.1002/sapm1978593187zbMath0394.76027OpenAlexW2606753104MaRDI QIDQ4177196

D. J. Benney, Denny R. S. Ko

Publication date: 1978

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1978593187

zbMATH Keywords

Perturbation ExpansionsInternal Gravity WavesStratified Fluid

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55) Reaction effects in flows (76V05)

Related Items (16)

Internal solitary waves over a combined obstacle ⋮ Research Contributions of David J. Benney ⋮ Asymptotic models of internal stationary waves ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ Rossby Waves on a Shear Flow with Recirculation Cores ⋮ Equivariant cosymmetry and front solutions of the Dubreil-Jacotin-Long equation. I: Boussinesq limit. ⋮ The Evolution of Large-Horizontal-Scale Disturbances in Marginally Stable, Inviscid, Shear Flows. I. Derivation of the Amplitude Evolution Equations ⋮ Phase velocity spectrum of internal waves in a weakly-stratified two-layer fluid ⋮ Fully nonlinear solitary waves in continuously stratified incompressible Boussinesq fluids ⋮ A Computational Method for Solitary Internal Waves in a Continuously Stratified Fluid ⋮ Solitary waves of permanent form in a deep fluid with weak shear ⋮ An Evans-function approach to spectral stability of internal solitary waves in stratified fluids ⋮ Large amplitude capillary-gravity solitary waves in a stratified fluid sandwiched between two deep homogeneous layers ⋮ On the steady-state relations between disturbances above and below a critical level ⋮ Large Amplitude Internal Waves of Permanent Form ⋮ Large Amplitude Solitary Waves in Unbounded Stratified Fluids

Cites Work

• Algebraic Solitary Waves in Stratified Fluids
• On steady laminar flow with closed streamlines at large Reynolds number
• The Korteweg–deVries Equation: A Survey of Results
• Interaction and Dispersion of Long Waves
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Internal waves of finite amplitude and permanent form
• Internal waves of permanent form in fluids of great depth
• Solitary internal waves in deep water
• Long Non‐Linear Waves in Fluid Flows

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