Exact analytic spectra of rogue waves for Manakov equations

2023/11/08 by Shaochun Chen, Chen, Shao-Chun, Chong Liu +3 · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Ocean Waves and Remote Sensing #Optics (physics.optics) #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.2311.04701

openalex publication_date 2023/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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