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

TL;DR

This paper introduces a mathematical model for rogue waves using Saint-Venant equations with friction to simulate temporary ocean surface waves resembling rogue waves.

Contribution

It develops a novel approach by applying Saint-Venant equations with a friction source term to model rogue wave formation.

Findings

Model successfully mimics rogue wave shape

Provides a new framework for rogue wave simulation

Enhances understanding of rogue wave dynamics

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.