A note on an alternative derivation of the Benney equations for short wave-long wave interactions

DOI10.1016/j.euromechflu.2012.01.002zbMath1258.76043OpenAlexW2119498411MaRDI QIDQ1940640

Davide Proment, Miguel Onorato

Publication date: 7 March 2013

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2012.01.002

zbMATH Keywords

nonlinear wavesnonlinear Schrödinger equationwater wavesZakharov equationshort wavebenney equationslong wave interaction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

• Unnamed Item
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• A study of resonant interactions between internal and surface waves based on a two-layer fluid model
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• On two-dimensional packets of capillary-gravity waves
• Significant Interactions Between Small and Large Scale Surface Waves
• A General Theory for Interactions Between Short and Long Waves
• The Modulation of an Internal Gravity-Wave Packet, and the Resonance with the Mean Motion
• On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
• On some consequences of the canonical transformation in the Hamiltonian theory of water waves