Nonlinear wave propagation governed by a fractional derivative.

Van Thuy Hoang, Justin Widjaja, Y Long Qiang, Maxwell K Liu, Tristram J Alexander, Antoine F J Runge, C Martijn de Sterke

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Article in Nature communications, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it

0cells of the map it votes in

1citing papers in PubMed

–field-weighted citation impact

1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

Nyquist-Hilbert-nonlinear Schrödinger solitons: A continuous family of fractional nonlinear waves.Science advances · 2026
Article

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

7 authors.

Van Thuy HoangInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, Sydney, New South Wales, Australia. vanthuy.hoang@sydney.edu.au.ORCID http://orcid.org/0000-0003-0056-2321

Justin WidjajaInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, Sydney, New South Wales, Australia.ORCID http://orcid.org/0000-0002-2120-4665

Y Long QiangInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, Sydney, New South Wales, Australia.ORCID http://orcid.org/0000-0002-4718-6266

Maxwell K LiuInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, Sydney, New South Wales, Australia.ORCID http://orcid.org/0009-0001-1842-283X

Tristram J AlexanderInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, Sydney, New South Wales, Australia.

Antoine F J RungeInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, Sydney, New South Wales, Australia.ORCID http://orcid.org/0000-0002-5061-7186

C Martijn de SterkeInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, Sydney, New South Wales, Australia.ORCID http://orcid.org/0000-0003-0548-4078

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The 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.

Identifiers

PMID40593604

DOI10.1038/s41467-025-60625-4

PMCPMC12215005

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.