Rogue waves emerging from the resonant interaction of three waves

F Baronio, M Conforti, A Degasperis, S Lombardo - Physical review letters, 2013 - APS
We introduce a novel family of analytic solutions of the three-wave resonant interaction
equations for the purpose of modeling unique events, ie,“amplitude peaks” which are …

The physics of the one-dimensional nonlinear Schrödinger equation in fiber optics: Rogue waves, modulation instability and self-focusing phenomena

F Copie, S Randoux, P Suret - Reviews in Physics, 2020 - Elsevier
We review the different dynamical mechanisms leading to the emergence of coherent
structures in physical systems described by the integrable one-dimensional nonlinear …

Rogue wave triplets

A Ankiewicz, DJ Kedziora, N Akhmediev - Physics Letters A, 2011 - Elsevier
We consider the family of 2nd order rogue wave rational solutions of the nonlinear
Schrödinger equation (NLSE) with two free parameters. Surprisingly, these solutions …

Real-time full bandwidth measurement of spectral noise in supercontinuum generation

B Wetzel, A Stefani, L Larger, PA Lacourt, JM Merolla… - Scientific reports, 2012 - nature.com
The ability to measure real-time fluctuations of ultrashort pulses propagating in optical fiber
has provided significant insights into fundamental dynamical effects such as modulation …

Coherence and shot-to-shot spectral fluctuations in noise-like ultrafast fiber lasers

AFJ Runge, C Aguergaray, NGR Broderick… - Optics Letters, 2013 - opg.optica.org
We report on experimental studies of coherence and fluctuations in noise-like pulse trains
generated by ultrafast fiber oscillators. By measuring the degree of first-order coherence …

Controllable optical rogue waves in the femtosecond regime

CQ Dai, GQ Zhou, JF Zhang - Physical Review E—Statistical, Nonlinear, and …, 2012 - APS
We derive analytical rogue wave solutions of variable-coefficient higher-order nonlinear
Schrödinger equations describing the femtosecond pulse propagation via a transformation …

Modulational instability, higher-order localized wave structures, and nonlinear wave interactions for a nonautonomous Lenells-Fokas equation in inhomogeneous …

L Wang, YJ Zhu, FH Qi, M Li, R Guo - Chaos: An Interdisciplinary …, 2015 - pubs.aip.org
In this paper, the nonautonomous Lenells-Fokas (LF) model is investigated. The
modulational instability analysis of the solutions with variable coefficients in the presence of …

Dissipative rogue waves induced by soliton explosions in an ultrafast fiber laser

M Liu, AP Luo, WC Xu, ZC Luo - Optics letters, 2016 - opg.optica.org
We reported on the observation of dissipative rogue waves (DRWs) induced by soliton
explosions in an ultrafast fiber laser. It was found that the soliton explosions could be …

Dynamics of higher-order bright and dark rogue waves in a new (2+ 1)-dimensional integrable Boussinesq model

S Singh, L Kaur, K Sakkaravarthi, R Sakthivel… - Physica …, 2020 - iopscience.iop.org
This work deals with the dynamics of higher-order rogue waves in a new integrable (2+ 1)-
dimensional Boussinesq equation governing the evolution of high and steep gravity water …

The management and containment of self-similar rogue waves in the inhomogeneous nonlinear Schrödinger equation

CQ Dai, YY Wang, Q Tian, JF Zhang - Annals of Physics, 2012 - Elsevier
We present, analytically, self-similar rogue wave solutions (rational solutions) of the
inhomogeneous nonlinear Schrödinger equation (NLSE) via a similarity transformation …