English

A mathematical model for rogue waves using Saint-Venant equations with friction

Numerical Analysis 2009-05-20 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0905.3114,
  title  = {A mathematical model for rogue waves using Saint-Venant equations with friction},
  author = {Alain-Yves Le Roux and Marie-Noëlle Le Roux},
  journal= {arXiv preprint arXiv:0905.3114},
  year   = {2009}
}

Comments

8 pages

R2 v1 2026-06-21T13:03:52.234Z