On the nonlinear modulation of planetary topographic waves in a rotating stratified ocean

DOI10.1080/03091928008243648zbMath0469.76015OpenAlexW2052851859WikidataQ114640797 ScholiaQ114640797MaRDI QIDQ3923774

Toshio Yamagata

Publication date: 1980

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928008243648

zbMATH Keywords

evolution equationsresonancenonlinear modulationnon-linear Schrödinger equationbottom-intensified Eulerian flowsplanetary topographic wavesrotating stratified oceanstability of a uniform plane wave solution

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Cites Work

• Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
• On two-dimensional packets of capillary-gravity waves
• Nonlinear aspects of long shelf waves
• The stability of continental shelf waves I. Side band instability and long wave resonance
• Resonant interactions between topographic planetary waves in a continuously stratified fluid
• The stability of small amplitude Rossby waves in a channel
• The disintegration of wave trains on deep water Part 1. Theory
• Non-linear dispersion of water waves
• Nonlinear Kelvin and continental-shelf waves

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