The resonant interaction among long and short waves

DOI10.1016/0165-2125(81)90019-6zbMath0474.76026OpenAlexW2057185525MaRDI QIDQ1159031

Yan-Chow Ma

Publication date: 1981

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(81)90019-6

zbMATH Keywords

inverse scattering transformnonlinearenergy transferperturbation expansionsplane wave solutionsconoidal waveinfinite number of modes for internal waves in oceansnon preserved polarizationresonant interaction among long and short wavesstretched coordinates

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55)

Related Items (7)

Classical affine \(\mathcal{W}\)-algebras for \(\mathfrak{gl}_N\) and associated integrable Hamiltonian hierarchies ⋮ A numerical study of the long wave--short wave interaction equations ⋮ General higher—order breathers and rogue waves in the two‐component long‐wave–short‐wave resonance interaction model ⋮ On Lax operators ⋮ WKB analysis for the three coupled long wave–short wave interaction equations ⋮ Erratum to: ``Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents ⋮ New reductions of integrable matrix partial differential equations: Sp(m)-invariant systems

Cites Work

• On two-dimensional packets of capillary-gravity 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
• The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations
• Long Waves—Short Waves; A Solvable Model

This page was built for publication: The resonant interaction among long and short waves