@article{ref1,
title="Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balance",
journal="Scientific reports",
year="2023",
author="Ermolaev, Andrei V. and Mabed, Mehdi and Finot, Christophe and Genty, Goëry and Dudley, John M.",
volume="13",
number="1",
pages="e10462-e10462",
abstract="We analyze the dynamics of modulation instability in optical fiber (or any other nonlinear Schrödinger equation system) using the machine-learning technique of data-driven dominant balance. We aim to automate the identification of which particular physical processes drive propagation in different regimes, a task usually performed using intuition and comparison with asymptotic limits. We first apply the method to interpret known analytic results describing Akhmediev breather, Kuznetsov-Ma, and Peregrine soliton (rogue wave) structures, and show how we can automatically distinguish regions of dominant nonlinear propagation from regions where nonlinearity and dispersion combine to drive the observed spatio-temporal localization. Using numerical simulations, we then apply the technique to the more complex case of noise-driven spontaneous modulation instability, and show that we can readily isolate different regimes of dominant physical interactions, even within the dynamics of chaotic propagation.<p /> <p>Language: en</p>",
language="en",
issn="2045-2322",
doi="10.1038/s41598-023-37039-7",
url="http://dx.doi.org/10.1038/s41598-023-37039-7"
}