Exact analytic spectra of rogue waves for Manakov equations
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Chen, Shao-Chun
Liu, Chong
Akhmediev, Nail
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American Physical Society
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The spectra of rogue waves of Manakov equations that exist in both focusing and 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 characterized 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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Physical Review A
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