Asymmetrical, rotational and ultra-high amplitude fundamental polarized optical rogue waves associated with the coherent coupling

Abstract

The dynamics of the fundamental rogue waves of the coupled nonlinear Schrödinger equations with the coherent coupling effect in the isotropic nonlinear medium is investigated. Firstly, via the Darboux-dressing transformation, we show the asymmetrical fundamental rogue waves and the rotational dynamics of fundamental rogue waves. Secondly, via the SO(2) rotation, we construct the fundamental rogue waves of ultra-high peak amplitude. With such transformation, we study the relation between ultra-high peak-background ratio and energy exchange. The fundamental rogue-wave excitation with ultra-high peak-background ratio in a chaotic background is confirmed via numerical simulations. The results discussed in this paper might contribute to the understanding of fundamental rogue wave phenomena in a variety of complex systems, from nonlinear optics to Bose-Einstein condensates.