Rogue Wave Multiplets in the Complex KdV Equation
Exactly Solvable and Integrable Systems
2020-09-22 v1
Abstract
We present a multi-parameter family of rational solutions to the complex Korteweg-de Vries(KdV) equations. This family of solutions includes particular cases with high-amplitude peaks at the centre, as well as a multitude of cases in which high-order rogue waves are partially split into lower-order fundamental components. We present an empirically-found symmetry which introduces a parameter controlling the splitting of the rogue wave components into multi-peak solutions, and allows for nonsingular solutions at higher order in certain cases.
Cite
@article{arxiv.2009.09831,
title = {Rogue Wave Multiplets in the Complex KdV Equation},
author = {Matthew Crabb and Nail Akhmediev},
journal= {arXiv preprint arXiv:2009.09831},
year = {2020}
}
Comments
5 pages, 6 figures. To be published in Romanian Reports in Physics