Three-Phase Freak Waves
Mathematical Physics
2015-04-22 v2 math.MP
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Abstract
In the article, we describe three-phase finite-gap solutions of the focusing nonlinear Schr\"odinger equation and Kadomtsev-Petviashvili and Hirota equations that exhibit the behavior of almost-periodic "freak waves". We also study the dependency of the solution parameters on the spectral curves.
Cite
@article{arxiv.1412.1562,
title = {Three-Phase Freak Waves},
author = {Aleksandr O. Smirnov and Sergei G. Matveenko and Sergei K. Semenov and Elena G. Semenova},
journal= {arXiv preprint arXiv:1412.1562},
year = {2015}
}