Instabilities, breathers and rogue waves in optics

JM Dudley, F Dias, M Erkintalo, G Genty - Nature Photonics, 2014 - nature.com
Optical rogue waves are rare, extreme fluctuations in the value of an optical field. The
term'optical rogue wave'was first used in the context of an analogy between pulse …

Recent progress in investigating optical rogue waves

N Akhmediev, JM Dudley, DR Solli… - Journal of optics, 2013 - iopscience.iop.org
The science of rogue waves in optics is now over five years old, and it has emerged as an
area of broad interest to researchers across the physical sciences [1]. This area of study was …

Free-electron interaction with nonlinear optical states in microresonators

Y Yang, JW Henke, AS Raja, FJ Kappert, G Huang… - Science, 2024 - science.org
The short de Broglie wavelength and strong interaction empower free electrons to probe
structures and excitations in materials and biomolecules. Recently, electron-photon …

The Darboux transformation of the Kundu–Eckhaus equation

D Qiu, J He, Y Zhang… - Proceedings of the …, 2015 - royalsocietypublishing.org
We construct an analytical and explicit representation of the Darboux transformation (DT) for
the Kundu–Eckhaus (KE) equation. Such solution and n-fold DT T n are given in terms of …

Theoretical and numerical evidence for the potential realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates

A Romero-Ros, GC Katsimiga, SI Mistakidis, B Prinari… - Physical Review A, 2022 - APS
The present work is motivated by the recent experimental realization of the Townes soliton in
an effective two-component Bose-Einstein condensate by B. Bakkali-Hassan et al.[Phys …

Rogue solitons in optical fibers: a dynamical process in a complex energy landscape?

A Armaroli, C Conti, F Biancalana - Optica, 2015 - opg.optica.org
Nondeterministic giant waves, denoted as rogue, killer, monster, or freak waves, have been
reported in many different branches of physics. Their physical interpretation is however still …

From solitons to rogue waves in nonlinear left-handed metamaterials

Y Shen, PG Kevrekidis, GP Veldes, DJ Frantzeskakis… - Physical Review E, 2017 - APS
In the present work, we explore soliton and roguelike wave solutions in the transmission line
analog of a nonlinear left-handed metamaterial. The nonlinearity is expressed through a …

Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves

J Cuevas-Maraver, PG Kevrekidis, DJ Frantzeskakis… - Physical Review E, 2017 - APS
In the present work, we aim at taking a step towards the spectral stability analysis of
Peregrine solitons, ie, wave structures that are used to emulate extreme wave events. Given …

Kuznetsov–Ma breather-like solutions in the Salerno model

J Sullivan, EG Charalampidis… - The European Physical …, 2020 - Springer
The Salerno model is a discrete variant of the celebrated nonlinear Schrödinger (NLS)
equation interpolating between the discrete NLS (DNLS) equation and completely …

[HTML][HTML] Superposed nonlinear waves in coherently coupled Bose–Einstein condensates

RB Mareeswaran, T Kanna - Physics Letters A, 2016 - Elsevier
We study the dynamics of superposed nonlinear waves in coherently coupled Gross–
Pitaevskii (CCGP) equations with constant (autonomous system) and time varying (non …