Exact analytic spectra of rogue waves for Manakov equations

Author:

Shao-Chun Chen, Chong Liu, Nail Akhmediev

Keyword:

Nonlinear Sciences, Pattern Formation and Solitons, Pattern Formation and Solitons (nlin.PS), Exactly Solvable and Integrable Systems (nlin.SI), Optics (physics.optics)

journal:

date:

2023-11-07 16:00:00

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.

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