Solitary internal waves with oscillatory tails

DOI10.1017/S0022112092002374zbMath0754.76014MaRDI QIDQ4020297

R. H. J. Grimshaw, T. R. Akylas

Publication date: 16 January 1993

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

zbMATH Keywords

Korteweg-de Vries equationdensity-stratified fluidlong-wave expansionshallow depthsingular-perturbation procedureweakly nonlinear long-wave theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Internal waves for incompressible inviscid fluids (76B55) Reaction effects in flows (76V05)

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Cites Work

• Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
• Existence of perturbed solitary wave solutions to a model equation for water waves
• Structural stability of the Korteweg-de Vries solitons under a singular perturbation
• On solitary water-waves of finite amplitude
• The non-existence of a certain class of travelling wave solutions of the Kuramoto-Sivashinsky equation
• Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
• Solitary and periodic gravity—capillary waves of finite amplitude
• A Computational Method for Solitary Internal Waves in a Continuously Stratified Fluid
• Asymptotics beyond All Orders in a Model of Crystal Growth
• Large Amplitude Internal Waves of Permanent Form
• Elevation solitary waves with surface tension
• Solitary internal waves in deep water
• Long Non‐Linear Waves in Fluid Flows

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