Early stage of integrable turbulence in the one-dimensional nonlinear Schrödinger equation: a semiclassical approach to statistics

Roberti, Giacomo, El, Gennady, Randoux, Stéphane and Suret, Pierre (2019) Early stage of integrable turbulence in the one-dimensional nonlinear Schrödinger equation: a semiclassical approach to statistics. Physical Review E. ISSN 2470-0045

[img]
Preview
Text
PhysRevE.100.032212.pdf - Published Version
Available under License Creative Commons Attribution 4.0.

Download (461kB) | Preview
[img]
Preview
Text
NLS1D_Kurtosis_PRE_accept.pdf - Accepted Version

Download (383kB) | Preview
Official URL: https://doi.org/10.1103/PhysRevE.100.032212

Abstract

We examine statistical properties of integrable turbulence in the defocusing and focusing regimes of one-dimensional small-dispersion nonlinear Schrödinger equation (1D-NLSE). Specifically, we study the 1D-NLSE evolution of partially coherent waves having Gaussian statistics at time t=0. Using short time asymptotic expansions and taking advantage of the scale separation in the semi-classical regime we obtain a simple explicit formula describing an early stage of the evolution of the fourth moment of the random wave field amplitude, a quantitative measure of the

Item Type: Article
Subjects: F300 Physics
H600 Electronic and Electrical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Elena Carlaw
Date Deposited: 24 Jul 2019 10:07
Last Modified: 11 Oct 2019 13:20
URI: http://nrl.northumbria.ac.uk/id/eprint/40144

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics


Policies: NRL Policies | NRL University Deposit Policy | NRL Deposit Licence