Exact analytic spectra of rogue waves for Manakov equations
Pattern Formation and Solitons
2023-11-09 v1 Exactly Solvable and Integrable Systems
Optics
Abstract
The spectra of rogue waves of Manakov equations that exist in both focusing or defocusing regimes are derived in analytic form. These spectra are asymmetric during their whole expansion-contraction cycle. They have triangular shape at each side of the spectrum in the log scale. Such spectra are characterised by two quantities: the slopes of the spectra and the spectral jump at zero frequency. We confirm our analytical results using numerical simulations.
Keywords
Cite
@article{arxiv.2311.04701,
title = {Exact analytic spectra of rogue waves for Manakov equations},
author = {Shao-Chun Chen and Chong Liu and Nail Akhmediev},
journal= {arXiv preprint arXiv:2311.04701},
year = {2023}
}
Comments
10 pages, 5 figures