A mathematical model for rogue waves using Saint-Venant equations with friction
arXiv:0905.3114
Originality Synthesis-oriented
AI Analysis
This work provides a theoretical framework for modeling rogue waves, which is relevant for oceanography and coastal engineering, but the approach is incremental.
The authors propose a mathematical model for rogue waves by finding particular solutions to the Saint-Venant equations with friction, aiming to mimic rogue wave shapes.
We propose to construct a temporary wave on the surface of the ocean, as a particular solution of the Saint-Venant equations with a source term involving the friction, whose shape is expected to mimic a rogue wave.