We report and discuss analytical solutions of the vector nonlinear Schr¨odinger 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.
Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime
BARONIO, Fabio;CONFORTI, Matteo;WABNITZ, Stefan
2014-01-01
Abstract
We report and discuss analytical solutions of the vector nonlinear Schr¨odinger 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.File | Dimensione | Formato | |
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PhysRevLett.113.034101.pdf
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