Abstract
Nonlinear interaction of surface wave trains is studied. Zakharov's kernel is extended to include the vicinity of trio resonance. The forced wave amplitude and the wave velocity changes are then first order rather than second order. The model is applied to remove near-resonance singularities in expressions for the change of speed of one wave train in the presence of another. New results for Wilton ripples and the drift current and setdown in shallow water waves are readily derived. The ideas are applied to the derivation of forced waves in the vicinity of quartet and quintet resonance in an evolving wave field.
| Original language | English |
|---|---|
| Pages (from-to) | 589-601 |
| Number of pages | 13 |
| Journal | Journal of Fluid Mechanics |
| Volume | 247 |
| DOIs | |
| State | Published - Feb 1993 |
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering