Interfacial waves with free-surface boundary conditions: An approach via a model equation
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Publication:5940273
DOI10.1016/S0167-2789(01)00149-XzbMath1037.76010OpenAlexW2039417977MaRDI QIDQ5940273
Andrej Il'ichev, Frédéric Dias
Publication date: 2001
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00149-x
Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55) Soliton equations (35Q51)
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Cites Work
- Unnamed Item
- A simple global characterization for normal forms of singular vector fields
- Exact theory of generalized solitary waves in a two-layer liquid in the absence of surface tension
- The generation of radiating waves in a singularly-perturbed Korteweg-de Vries equation
- Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
- Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
- Interfacial periodic waves of permanent form with free-surface boundary conditions
- Solitary waves in liquids having non-constant density
- Exact solitary water waves with capillary ripples at infinity
- A note on exact relations for solitary waves
- The existence of internal solitary waves in a two-fluid system near the KdV limit
- Numerical study of generalized interfacial solitary waves
- Conjugate flows for a three-layer fluid
- Elevation solitary waves with surface tension
- Solitary internal waves with oscillatory tails
- Long periodic internal waves
- Water waves for small surface tension: an approach via normal form
- Experimental study of interfacial solitary waves
- Weakly nonlocal gravity–capillary solitary waves
- GUIDED AND UNGUIDED INTERFACIAL SOLITARY WAVES
- On Short‐Scale Oscillatory Tails of Long‐Wave Disturbances
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