Weakly nonlocal gravity–capillary solitary waves

DOI10.1063/1.868926zbMath1087.76021OpenAlexW2000625103MaRDI QIDQ4426423

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Publication date: 1996

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868926

zbMATH Keywords

phase shiftasymptotic theoryoscillatory tails

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Solitary waves for incompressible inviscid fluids (76B25) Spectral methods applied to problems in fluid mechanics (76M22)

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Cites Work

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• 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
• Exact solitary water waves with capillary ripples at infinity
• Elevation solitary waves with surface tension
• Solitary internal waves with oscillatory tails
• Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation
• Finite-amplitude effects on steady lee-wave patterns in subcritical stratified flow over topography
• On Short‐Scale Oscillatory Tails of Long‐Wave Disturbances