Rogue waves and analogies in optics and oceanography

JM Dudley, G Genty, A Mussot, A Chabchoub… - Nature Reviews …, 2019 - nature.com
Over a decade ago, an analogy was drawn between the generation of large ocean waves
and the propagation of light fields in optical fibres. This analogy drove numerous …

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 …

Single-shot observation of optical rogue waves in integrable turbulence using time microscopy

P Suret, RE Koussaifi, A Tikan, C Evain… - Nature …, 2016 - nature.com
Optical fibres are favourable tabletop laboratories to investigate both coherent and
incoherent nonlinear waves. In particular, exact solutions of the one-dimensional nonlinear …

Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation

A Tikan, C Billet, G El, A Tovbis, M Bertola, T Sylvestre… - Physical review …, 2017 - APS
We report experimental confirmation of the universal emergence of the Peregrine soliton
predicted to occur during pulse propagation in the semiclassical limit of the focusing …

Experimental observations of breathing dissipative soliton explosions

J Peng, H Zeng - Physical Review Applied, 2019 - APS
Solitons are revealed to undergo sudden structural collapse upon nonlinear propagation
and robust recurrence to the original state afterwards. Such fascinating dynamics, termed …

Rogue waves and large deviations in deep sea

G Dematteis, T Grafke… - Proceedings of the …, 2018 - National Acad Sciences
The appearance of rogue waves in deep sea is investigated by using the modified nonlinear
Schrödinger (MNLS) equation in one spatial dimension with random initial conditions that …

Spontaneous synchronization and exceptional points in breather complexes

W Wang, Z Fang, T **an, M Zhang, Y Zhao, L Zhan - Physical Review Applied, 2023 - APS
In this study, we provide an empirical validation of spontaneous synchronization and the
exceptional-point-(EP) induced pulse-generation mechanism within the dynamic framework …

Peregrine solitons beyond the threefold limit and their two-soliton interactions

S Chen, Y Ye, JM Soto-Crespo, P Grelu, F Baronio - Physical Review Letters, 2018 - APS
Within the coupled Fokas-Lenells equations framework, we show explicitly that, in contrast to
the expected threefold-amplitude magnification, Peregrine solitons can reach a peak …

Anomalous wave statistics induced by abrupt depth change

CT Bolles, K Speer, MNJ Moore - Physical review fluids, 2019 - APS
Laboratory experiments reveal that variations in bottom topography can qualitatively alter
the distribution of randomized surface waves. A normally distributed, unidirectional wave …

The integrability of a (2+ 1)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions

B Ren, J Lin - Wave Motion, 2023 - Elsevier
Abstract The (2+ 1)-dimensional nonlinear wave equation is proposed by exchanging the x,
y-spaces (x↔ y) in the (2+ 1)-dimensional Hirota bilinear equation. A singularity structure …