Multistate intermittency and extreme pulses in a fiber laser
AN Pisarchik, R Jaimes-Reátegui… - Physical Review E …, 2012 - APS
In our recent Letter [Phys. Rev. Lett. 107, 274101 (2011) PRLTAO 0031-9007
10.1103/PhysRevLett. 107.274101], we demonstrated that slow random perturbations of a …
10.1103/PhysRevLett. 107.274101], we demonstrated that slow random perturbations of a …
[HTML][HTML] Rogue wave type solutions and spectra of coupled nonlinear Schrödinger equations
The formation of rogue oceanic waves may be the result of different causes. Various factors
(winds, currents, dispersive focussing, depth, nonlinear focussing and instability) make this …
(winds, currents, dispersive focussing, depth, nonlinear focussing and instability) make this …
On the statistical interpretation of optical rogue waves
Numerical simulations are used to discuss various aspects of “optical rogue wave” statistics
observed in noise-driven fiber supercontinuum generation associated with highly incoherent …
observed in noise-driven fiber supercontinuum generation associated with highly incoherent …
Control of pulse-to-pulse fluctuations in visible supercontinuum
A Kudlinski, B Barviau, A Leray, C Spriet, L Héliot… - Optics express, 2010 - opg.optica.org
Long-pulse supercontinuum sources are initiated by modulation instability and consequently
suffer from stochastic shot-to-shot variations of their spectral power density. In this paper, we …
suffer from stochastic shot-to-shot variations of their spectral power density. In this paper, we …
[HTML][HTML] Two-parameter determinant representation of seventh order rogue wave solutions of the NLS equation
P Gaillard - Journal of Theoretical and Applied Physics, 2013 - Springer
We present a new representation of solutions of focusing nonlinear Schrödinger equation
(NLS) equation as a quotient of two determinants. We construct families of quasi-rational …
(NLS) equation as a quotient of two determinants. We construct families of quasi-rational …
Integrability in action: solitons, instability and rogue waves
A Degasperis, S Lombardo - Rogue and shock waves in nonlinear …, 2016 - Springer
Integrable nonlinear equations modeling wave phenomena play an important role in
understanding and predicting experimental observations. Indeed, even if approximate, they …
understanding and predicting experimental observations. Indeed, even if approximate, they …
Search for rogue waves in Bose-Einstein condensates via a theory-guided neural network
XD Bai, D Zhang - Physical Review E, 2022 - APS
An important and incompletely answered question is whether machine learning methods
can be used to discover the excitation of rogue waves (RWs) in nonlinear systems …
can be used to discover the excitation of rogue waves (RWs) in nonlinear systems …
Taming rogue waves in vector Bose-Einstein condensates
Using gauge transformation method, we generate rogue waves for the two-component Bose-
Einstein condensates (BECs) governed by the symmetric coupled Gross-Pitaevskii (GP) …
Einstein condensates (BECs) governed by the symmetric coupled Gross-Pitaevskii (GP) …
Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials
L Wang, Z Yan - Applied Mathematics Letters, 2021 - Elsevier
The defocusing nonlinear Schrödinger (NLS) equation has no the modulational instability,
and was not found to possess the rogue wave (RW) phenomenon up to now. In this paper …
and was not found to possess the rogue wave (RW) phenomenon up to now. In this paper …
[HTML][HTML] The 3-wave resonant interaction model: spectra and instabilities of plane waves
The three wave resonant interaction model (3WRI) is a non-dispersive system with quadratic
coupling between the components that finds application in many areas, including nonlinear …
coupling between the components that finds application in many areas, including nonlinear …