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 (5)

• Baseband Modulation Instability as the Origin of Rogue Waves
• State Transition Induced by Higher-order Effects and Background Frequency
• Two-dimensional dissipative rogue waves due to time-delayed feedback in cavity nonlinear optics
• Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate
• Higher-order rogue wave dynamics for a derivative nonlinear Schrödinger equation