Modulation instability and non-degenerate Akhmediev breathers of Manakov equations
Pattern Formation and Solitons
2022-08-24 v1 Exactly Solvable and Integrable Systems
Optics
Abstract
We reveal a new class of \textit{non-degenerate} Akhmediev breather (AB) solutions of Manakov equations that only exist in the focusing case. Based on exact solutions, we present the existence diagram of such excitations on the frequency-wavenumber plane. Conventional single-frequency modulation instability leads to simultaneous excitation of three ABs with two of them being non-degenerate.
Keywords
Cite
@article{arxiv.2203.03998,
title = {Modulation instability and non-degenerate Akhmediev breathers of Manakov equations},
author = {Chong Liu and Shao-Chun Chen and Xiankun Yao and Nail Akhmediev},
journal= {arXiv preprint arXiv:2203.03998},
year = {2022}
}
Comments
6 pages, 3 figures