Waves with different wavenumbers and frequencies interact when they propagate in a nonlinear medium. In the weakly nonlinear limit, the interactions involve only small sets of waves (triads or quartets), and they are governed by simple amplitude equations. These lectures present the derivation of these amplitude equations, examine their properties and solutions, and discuss some applications to waves in fluids, in particular to Rossby waves and surface gravity waves.
KeywordsDispersion Relation Gravity Wave Rossby Wave Wave Interaction Interaction Coefficient
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