Nyquist-Hilbert-nonlinear Schrödinger solitons: A continuous family of fractional nonlinear waves.

Van Thuy Hoang, Y Qiang, Tristram J Alexander, Antoine F J Runge, C Martijn de Sterke

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Article in Science advances, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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5 authors.

Van Thuy HoangInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, New South Wales 2006, Australia.ORCID 0000-0003-0056-2321

Y QiangInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, New South Wales 2006, Australia.ORCID 0000-0002-4718-6266

Tristram J AlexanderInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, New South Wales 2006, Australia.

Antoine F J RungeInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, New South Wales 2006, Australia.

C Martijn de SterkeInstitute of Photonics and Optical Science (IPOS), School of Physics A28, The University of Sydney, New South Wales 2006, Australia.ORCID 0000-0003-0548-4078

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6 · The paper itself

Abstract

The applications of fractional derivatives in mathematics and physics are well established. However, experimental observations of waves governed by fractional derivatives have been limited to optical systems under special conditions. Here, we report a theoretical, numerical, and experimental study of a continuous family of fractional nonlinear optical waves that balance Kerr nonlinearity and dispersion of fractional order. We show that within this family, the relationship between pulse width and pulse energy can be freely adjusted and that it connects Nyquist solitons and Hilbert-nonlinear Schrödinger solitons, which were previously investigated separately. These results broaden the fundamental understanding of fractional derivatives and solitons and introduce avenues to engineer novel ultrafast pulses in nonlinear optics and its applications.

Identifiers

PMID41512064

DOI10.1126/sciadv.aea5872

PMCPMC12787527

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