Exact analytic spectra of rogue waves for Manakov equations
- Resource Type
- Working Paper
- Authors
- Chen, Shao-Chun; Liu, Chong; Akhmediev, Nail
- Source
- Subject
- Nonlinear Sciences - Pattern Formation and Solitons
Nonlinear Sciences - Exactly Solvable and Integrable Systems
Physics - Optics
- Language
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.
Comment: 10 pages, 5 figures