Rogue waves and analogies in optics and oceanography
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 …
and the propagation of light fields in optical fibres. This analogy drove numerous …
Extreme events: Mechanisms and prediction
Extreme events, such as rogue waves, earthquakes, and stock market crashes, occur
spontaneously in many dynamical systems. Because of their usually adverse …
spontaneously in many dynamical systems. Because of their usually adverse …
Single-shot observation of optical rogue waves in integrable turbulence using time microscopy
Optical fibres are favourable tabletop laboratories to investigate both coherent and
incoherent nonlinear waves. In particular, exact solutions of the one-dimensional nonlinear …
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
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 …
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 …
and robust recurrence to the original state afterwards. Such fascinating dynamics, termed …
Rogue waves and large deviations in deep sea
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 …
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 …
exceptional-point-(EP) induced pulse-generation mechanism within the dynamic framework …
Peregrine solitons beyond the threefold limit and their two-soliton interactions
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 …
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 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 …
y-spaces (x↔ y) in the (2+ 1)-dimensional Hirota bilinear equation. A singularity structure …