Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime

2014/03/15 by Fabio Baronio, Matteo Conforti, Antonio Degasperis +5 · 11 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.PS #nlin.SI #physics.flu-dyn #physics.optics

paper · pdf · doi:10.1103/physrevlett.113.034101

published as Phys. Rev. Lett. 113, 034101 (2014)

arxiv created 2014/03/15 · openalex publication_date 2014/07/16 · arxiv updated 2014/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We report and discuss analytical solutions of the vector nonlinear Schrödinger equation that describe rogue waves in the defocusing regime. This family of solutions includes bright-dark and dark-dark rogue waves. The link between modulational instability (MI) and rogue waves is displayed by showing that only a peculiar kind of MI, namely baseband MI, can sustain rogue-wave formation. The existence of vector rogue waves in the defocusing regime is expected to be a crucial progress in explaining extreme waves in a variety of physical scenarios described by multicomponent systems, from oceanography to optics and plasma physics.

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• Stabilization of two-dimensional optical continuous-wave states by a potential trough
• Controllable excitation of vector Akhmediev breather patterns
• Novel periodic solutions and rogue waves of the defocusing scalar and coupled Ablowitz-Ladik systems on a nonzero background
• Dirac monopole potentials with high charges underlying nonlinear waves
• State transition induced by higher-order effects and background frequency
• Breather transition dynamics, Peregrine combs and walls, and modulation instability in a variable-coefficient nonlinear Schrödinger equation with higher-order effects
• Baseband Modulational Instability and Manifestation of Breather and Super Rogue Wave Phenomena in Modified Noguchi Electrical Transmission Line
• On general rogue waves in the parity-time-symmetric nonlinear Schrodinger equation
• Non-degenerate multi-rogue waves and easy ways of their excitation
• Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrödinger equation

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• Baseband Modulation Instability as the Origin of Rogue Waves
• Rogue waves for a system of coupled derivative nonlinear Schrödinger equations
• The optical rogue wave patterns in coupled defocusing systems
• Formation of rogue waves and modulational instability with zero-wavenumber gain in multi-component systems with coherent coupling
• Vector rogue waves on a double-plane wave background