Abstract
The evolution equation governing wavemaker-generated cross-waves near a cutoff frequency in an infinitely deep, infinitely long channel is shown to be the nonlinear Schrodinger equation with a homogeneous boundary condition at the wavemaker. With the inclusion of an empirically determined damping coefficient, numerical results for growth rate, slow modulation period, and wave amplitude show good agreement with previous experiments. The results also describe observations of trapped and propagating solutions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 451-465 |
| Number of pages | 15 |
| Journal | Journal of fluid Mechanics |
| Volume | 183 |
| DOIs | |
| State | Published - Oct 1987 |
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering