[HTML][HTML] The physics of the one-dimensional nonlinear Schrödinger equation in fiber optics: Rogue waves, modulation instability and self-focusing phenomena
We review the different dynamical mechanisms leading to the emergence of coherent
structures in physical systems described by the integrable one-dimensional nonlinear …
structures in physical systems described by the integrable one-dimensional nonlinear …
Soliton gas: Theory, numerics, and experiments
The concept of soliton gas was introduced in 1971 by Zakharov as an infinite collection of
weakly interacting solitons in the framework of Korteweg–de Vries (KdV) equation. In this …
weakly interacting solitons in the framework of Korteweg–de Vries (KdV) equation. In this …
Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering
The Peregrine soliton (PS) is widely regarded as a prototype nonlinear structure capturing
properties of rogue waves that emerge in the nonlinear propagation of unidirectional wave …
properties of rogue waves that emerge in the nonlinear propagation of unidirectional wave …
Early stage of integrable turbulence in the one-dimensional nonlinear Schrödinger equation: A semiclassical approach to statistics
We examine statistical properties of integrable turbulence in the defocusing and focusing
regimes of one-dimensional small-dispersion nonlinear Schrödinger equation (1D-NLSE) …
regimes of one-dimensional small-dispersion nonlinear Schrödinger equation (1D-NLSE) …
Effect of local Peregrine soliton emergence on statistics of random waves in the 1-D focusing Nonlinear Schr\" odinger equation
A Tikan - arXiv preprint arXiv:1905.11938, 2019 - arxiv.org
The Peregrine soliton is often considered as a prototype of the rogue waves. After recent
advances in the semi-classical limit of the 1-D focusing Nonlinear Schr\" odinger (NLS) …
advances in the semi-classical limit of the 1-D focusing Nonlinear Schr\" odinger (NLS) …
[图书][B] Analysis and control of rogue waves in fibre lasers and in hydrodynamics: integrable turbulence framework
G Roberti - 2022 - search.proquest.com
Understanding mechanisms underlying the formation of extreme events is the problem of
primary importance in various domains of study including hydrodynamics, optics, forecasting …
primary importance in various domains of study including hydrodynamics, optics, forecasting …
Integrable turbulence in optical fiber experiments: from local dynamics to statistics
A Tikan - 2018 - hal.science
This work is dedicated to the investigation of the origin of statistical phenomena recently
observed in the framework of integrable turbulence. Namely, experimental and numerical …
observed in the framework of integrable turbulence. Namely, experimental and numerical …