Rogue waves of ultra-high peak amplitude: a mechanism for reaching up to a thousand times the background level. (17th February 2021)

• Record Type: Journal Article
• Authors: Sun, Wen-Rong; Liu, Lei; Kevrekidis, P. G.
• Is Part Of: Proceedings. Volume 477:Number 2246(2021)
• Publication Date: 2021-02-17
• Subjects: extremely high-amplitude mechanism -- fundamental rogue wave -- Darboux-dressing transformation; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rspa.2020.0842
• Languages: English
• ISSNs: 1364-5021

Abstract

Abstract : We unveil a mechanism enabling a fundamental rogue wave, expressed by a rational function of fourth degree, to reach a peak amplitude as high as a thousand times the background level in a system of coupled nonlinear Schrödinger equations involving both incoherent and coherent coupling terms with suitable coefficients. We obtain the exact explicit vector rational solutions using a Darboux-dressing transformation. We show that both components of such coupled equations can reach extremely high amplitudes. The mechanism is confirmed in direct numerical simulations and its robustness is confirmed upon noisy perturbations. Additionally, we showcase the fact that extremely high peak-amplitude vector fundamental rogue waves (of about 80 times the background level) can be excited even within a chaotic background field .