Nonlinear wave propagation governed by a fractional derivative

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dc.contributor.authorHoang, V.T.
dc.contributor.authorWidjaja, J.
dc.contributor.authorQiang, Y.L.
dc.contributor.authorLiu, M.K.
dc.contributor.authorAlexander, T.J.
dc.contributor.authorRunge, A.F.J.
dc.contributor.authorde Sterke, C.M.
dc.date.issued2025
dc.description.abstractThe idea of fractional derivatives has a long history that dates back centuries. Apart from their intriguing mathematical properties, fractional derivatives have been studied widely in physics, for example in quantum mechanics and generally in systems with nonlocal temporal or spatial interactions. However, systematic experiments have been rare because the physical implementation is challenging. Here we report the observation and full characterization of a family of temporal solitons that are governed by a fractional nonlinear wave equation. We demonstrate that these solitons have non-exponential tails, reflecting their nonlocal character, and have a very small time-bandwidth product.
dc.description.statementofresponsibilityVan Thuy Hoang, Justin Widjaja, Y. Long Qiang, Maxwell K. Liu, Tristram J. Alexander, Antoine F. J. Runge, C. Martijn de Sterke
dc.identifier.citationNature Communications, 2025; 16(1):5469-1-5469-8
dc.identifier.doi10.1038/s41467-025-60625-4
dc.identifier.issn2041-1723
dc.identifier.issn2041-1723
dc.identifier.orcidHoang, V.T. [0000-0003-0056-2321]
dc.identifier.urihttps://hdl.handle.net/2440/147719
dc.language.isoen
dc.publisherNature Portfolio
dc.relation.granthttp://purl.org/au-research/grants/arc/CE230100006
dc.relation.granthttp://purl.org/au-research/grants/arc/DE220100509
dc.relation.granthttp://purl.org/au-research/grants/arc/DP230102200
dc.rights© The Author(s) 2025. Open Access. This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived fromthis article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http:// creativecommons.org/licenses/by-nc-nd/4.0/.
dc.source.urihttps://doi.org/10.1038/s41467-025-60625-4
dc.subjectNonlinear optics; Optics and photonics
dc.titleNonlinear wave propagation governed by a fractional derivative
dc.typeJournal article
pubs.publication-statusPublished

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