Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime

Fabio Baronio (1) , Matteo Conforti (2) , Antonio Degasperis (3) , Sara Lombardo (4) , Miguel Onorato (5) , Stefan Wabnitz (1)

1 Department of Information Engineering [Brescia]
2 PhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523
3 INFN - Istituto Nazionale di Fisica Nucleare [Sezione di Roma 1]
4 University of Northumbria at Newcastle [United Kingdom]
5 UNITO - Università degli studi di Torino = University of Turin

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.

Domaines: Systèmes Solubles et Intégrables [nlin.SI]; Formation de Structures et Solitons [nlin.PS]; Optique [physics.optics]

Fabio Baronio, Matteo Conforti, Antonio Degasperis, Sara Lombardo, Miguel Onorato, et al.. Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime. Physical Review Letters, 2014, 113 (3), ⟨10.1103/PhysRevLett.113.034101⟩. ⟨hal-02393930⟩