Super chirped rogue waves in optical fibers

15 pags., 6 figs., 1 app.The super rogue wave dynamics in optical fibers are investigated within the framework of a generalized nonlinear Schrödinger equation containing group-velocity dispersion, Kerr and quintic nonlinearity, and self-steepening effect. In terms of the explicit rogue wave solutions up to the third order, we show that, for a rogue wave solution of order n, it can be shaped up as a single super rogue wave state with its peak amplitude 2n + 1 times the background level, which results from the superposition of n(n + 1)/2 Peregrine solitons. Particularly, we demonstrate that these super rogue waves involve a frequency chirp that is also localized in both time and space. The robustness of the super chirped rogue waves against white-noise perturbations as well as the possibility of generating them in a turbulent field is numerically confirmed, which anticipates their accessibility to experimental observation.National Natural Science Foundation of China (NSFC) (11474051); MINECO (TEC2015-71127- C2-1-R); Comunidad Autonoma de Madrid (CAM) (S2013/MIT-2790)