Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime

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 multi-component systems, from oceanography to optics and plasma physics.

References in corpus (1)

• Rogue-wave solutions of a three-component coupled nonlinear Schrodinger equation

Cited by in corpus (20)

• Baseband Modulation Instability as the Origin of Rogue Waves
• State Transition Induced by Higher-order Effects and Background Frequency
• Doubly periodic solutions of the focusing nonlinear Schrödinger equation: recurrence, period doubling and amplification outside the conventional modulation instability band
• Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
• Two-dimensional dissipative rogue waves due to time-delayed feedback in cavity nonlinear optics
• Non-degenerate multi-rogue waves and easy ways of their excitation
• Superposed nonlinear waves in coherently coupled Bose-Einstein condensates
• Transverse Instability of Rogue Waves
• On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients
• Fundamental and second-order dark soliton solutions of 2- and 3-component Manakov equations in the defocusing regime
• Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate
• Experimental study of breathers and rogue waves generated by random waves over non-uniform bathymetry
• A new integrable model of long wave-short wave interaction and linear stability spectra
• Dispersion Managed Generation of Peregrine Solitons and Kuznetsov-Ma Breather in an Optical Fiber
• Simulation of universal optical logic gates under energy sharing collisions of Manakov solitons and fulfillment of practical optical logic criteria
• Higher-order rogue wave dynamics for a derivative nonlinear Schrödinger equation
• Rogue wave patterns in the nonlinear Schrödinger equation
• On general rogue waves in the parity-time-symmetric nonlinear Schrodinger equation
• Femtosecond Optical Superregular Breathers
• The three-level coupled Maxwell-Bloch equations: rogue waves, semirational rogue waves and W-shaped solitons