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 …

Extreme events: Mechanisms and prediction

M Farazmand, TP Sapsis - Applied …, 2019 - asmedigitalcollection.asme.org
Extreme events, such as rogue waves, earthquakes, and stock market crashes, occur
spontaneously in many dynamical systems. Because of their usually adverse …

Dark and antidark solitons on continuous and doubly periodic backgrounds in the space-shifted nonlocal nonlinear Schrödinger equation

J Rao, D Mihalache, F Zhou, J He, SA Chen - Chaos, Solitons & Fractals, 2024 - Elsevier
In the framework of the space-shifted nonlocal nonlinear Schrödinger equation, the dark and
antidark soliton solutions on both continuous and doubly periodic backgrounds are studied …

Four-wave mixing induced general localized waves for a coupled generalized nonlinear Schrödinger system

CC Ding, LW Zhu, H Triki, Q Zhou - Physica D: Nonlinear Phenomena, 2024 - Elsevier
In this paper, we investigate the general localized waves on the nonvanishing background
for a coupled generalized nonlinear Schrödinger system with four wave mixing (FWM) effect …

[หนังสือ][B] The defocusing nonlinear Schrödinger equation: from dark solitons to vortices and vortex rings

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

Dark-soliton asymptotics for a repulsive nonlinear system in a baroclinic flow

XH Wu, YT Gao, X Yu - Physics of Fluids, 2024 - pubs.aip.org
In geophysical hydrodynamics, baroclinic instability denotes the process in which the
perturbations draw the energy from the mean flow potential power. Researchers focus their …

Degenerate and non-degenerate vector solitons and their interactions in the two-component long-wave–short-wave model of Newell type

J Rao, D Mihalache, J He, F Zhou - Chaos, Solitons & Fractals, 2023 - Elsevier
The focus of this paper is on the dynamics of degenerate and non-degenerate vector
solitons and their collision scenarios in the two-component long-wave–short-wave (2-LS) …

Dynamics of dark and anti-dark solitons for the x-nonlocal Davey–Stewartson II equation

CC Ding, Q Zhou, H Triki, Y Sun, A Biswas - Nonlinear Dynamics, 2023 - Springer
We investigate the x-nonlocal Davey–Stewartson II equation based on Kadomtsev–
Petviashvili hierarchy reduction method, and then report dark solitons and (semi-) rational …

Switching dynamics of dark-pulse Kerr frequency comb states in optical microresonators

E Nazemosadat, A Fülöp, ÓB Helgason, PH Wang… - Physical Review A, 2021 - APS
Dissipative Kerr solitons are localized structures that exist in nonlinear optical cavities. They
lead to the formation of microcombs—chip-scale frequency combs that could facilitate …

Dark solitons under higher-order dispersion

TJ Alexander, GA Tsolias, A Demirkaya, RJ Decker… - Optics Letters, 2022 - opg.optica.org
We show theoretically that stable dark solitons can exist in the presence of pure quartic
dispersion, and also in the presence of both quadratic and quartic dispersive effects …