How to excite a rogue wave

Abstract

We propose initial conditions that could facilitate the excitation of rogue waves. Understanding the initial conditions that foster rogue waves could be useful both in attempts to avoid them by seafarers and in generating highly energetic pulses in optical fibers.

Collision of Akhmediev Breathers in Nonlinear Fiber Optics

“…We report here a novel optical fiber-based test bed using tailored modulated initial conditions of a continuous wave to excite the formation of two Akhmediev breathers (ABs) that collide during propagation. Our experimental work confirms the analytical predictions of breather collision by Akhmediev et al [7,26]. We have also investigated the synchronization of the collision by controlling the phase and velocity differences between ABs.…”

“…Indeed, the maximal intensity is obtained when the local maxima of both ABs coincide in the plane ð ; Þ [26]. Two characteristics of the excited ABs are known to be crucial, their velocity and phase difference.…”

“…The black x corresponds to the physical parameters used in the experiment. 26]. The appropriate choice of 1 and 2 is such that it gives rise to the nonlinear evolution depicted in Fig.…”

“…The easiest way is to generate two ABs by seeding the modulation instability process at two distinct frequencies [26]. To this end, we can use a superposition of two complex exponentials for the input field, (b).…”

Quasibreathers in the MMT model

“…Some of these solutions are presented in [2], more recent developments can be found in articles [3]- [6]. These solutions, however, presume existence of background monochromatic wave (condensate) and are connected to the subject of our paper only indirectly.…”