Exact analytic spectra of rogue waves for Manakov equations
Shaochun Chen, Chong Liu, Nail Akhmediev
Abstract
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.
Topics & Concepts
Spectral lineRogue waveJumpZero (linguistics)PhysicsContraction (grammar)Scale (ratio)Mathematical analysisNonlinear systemMathematicsQuantum mechanicsPhilosophyLinguisticsMedicineInternal medicineNonlinear Waves and SolitonsNonlinear Photonic SystemsOcean Waves and Remote Sensing