Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balance
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 dif...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-06-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-37039-7 |
| _version_ | 1797789838309588992 |
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| author | Andrei V. Ermolaev Mehdi Mabed Christophe Finot Goëry Genty John M. Dudley |
| author_facet | Andrei V. Ermolaev Mehdi Mabed Christophe Finot Goëry Genty John M. Dudley |
| author_sort | Andrei V. Ermolaev |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T01:56:16Z |
| format | Article |
| id | doaj.art-455b659089f4461cabcc88ee2ccf4357 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-13T01:56:16Z |
| publishDate | 2023-06-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-455b659089f4461cabcc88ee2ccf43572023-07-02T11:12:31ZengNature PortfolioScientific Reports2045-23222023-06-011311910.1038/s41598-023-37039-7Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balanceAndrei V. Ermolaev0Mehdi Mabed1Christophe Finot2Goëry Genty3John M. Dudley4Université de Franche-Comté, Institut FEMTO-ST, CNRS UMR 6174Université de Franche-Comté, Institut FEMTO-ST, CNRS UMR 6174Laboratoire Interdisciplinaire Carnot de Bourgogne, CNRS UMR 6303, Université de BourgognePhotonics Laboratory, Tampere UniversityUniversité de Franche-Comté, Institut FEMTO-ST, CNRS UMR 6174Abstract 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.https://doi.org/10.1038/s41598-023-37039-7 |
| spellingShingle | Andrei V. Ermolaev Mehdi Mabed Christophe Finot Goëry Genty John M. Dudley Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balance Scientific Reports |
| title | Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balance |
| title_full | Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balance |
| title_fullStr | Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balance |
| title_full_unstemmed | Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balance |
| title_short | Analysis of interaction dynamics and rogue wave localization in modulation instability using data-driven dominant balance |
| title_sort | analysis of interaction dynamics and rogue wave localization in modulation instability using data driven dominant balance |
| url | https://doi.org/10.1038/s41598-023-37039-7 |
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