Wave interactions

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish
Title of host publicationNonlinear Waves in Fluids: Recent Advances and Modern Applications
EditorsR Grimshaw
Place of PublicationVIENNA
PublisherSpringer-Verlag Wien
Pages69-94
Number of pages26
ISBN (Print)3-211-25259-2
Publication statusPublished - 2005

Keywords

  • NONLINEAR-INTERACTIONS
  • GEOPHYSICAL WAVES
  • ROSSBY WAVES
  • SHEAR FLOWS
  • STABILITY
  • FLUID
  • VARIABLES
  • MECHANICS
  • SPACE
  • PHASE

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