title: Complementary optical rogue waves in parametric three-wave mixing.
abstract: We investigate the resonant interaction of two optical pulses of the same group velocity with a pump pulse of different velocity in a weakly dispersive quadratic medium and report on the complementary rogue wave dynamics which are unique to such a parametric three-wave mixing. Analytic rogue wave solutions up to the second order are explicitly presented and their robustness is confirmed by numerical simulations, in spite of the onset of modulation instability activated by quantum noise.
authors.forename: Shihua
authors.initials: S
authors.lastname: Chen
authors.forename: Xian-Ming
authors.initials: XM
authors.lastname: Cai
authors.forename: Philippe
authors.initials: P
authors.lastname: Grelu
authors.forename: J M
authors.initials: JM
authors.lastname: Soto-Crespo
authors.forename: Stefan
authors.initials: S
authors.lastname: Wabnitz
authors.forename: Fabio
authors.initials: F
authors.lastname: Baronio