Dynamics of solitons in Lugiato–Lefever cavities with fractional diffraction

Shangling He, Boris A. Malomed, Dumitru Mihalache, Xi Peng, Yingji He*, Dongmei Deng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We study soliton dynamics in a passive optical system governed by the Lugiato–Lefever equation with effective diffraction represented by a fractional spatial derivative. Two models are considered, with the spatially uniform or strongly localized pump. Stable (quasi-) solitons are constructed, and their stability regions in the systems’ parameter spaced are identified primarily, in a numerical form. The stability is strongly affected by the Lévy index (LI) of the fractional diffraction. The dependence of the stability on the loss coefficient and pump strength, as well as the localization size in the case of the confined pump, are studied too. In the latter case, the stability is enhanced by the narrow localization. Unstable solitons spontaneously develop intrinsic oscillations. In the case of the localized pump, some unstable solitons escape from the position pinned to the pumped region.

Original languageEnglish
Article number113737
JournalChaos, Solitons and Fractals
Volume173
DOIs
StatePublished - Aug 2023

Funding

FundersFunder number
Guangdong Department of Education Projects of Improving Scientific Research Capabilities of Key Subjects Construction2022ZDJS016
Israel Science Foundation, Israel1695/22
Romanian Ministry of Research, InnovationPN 23210101/2023
National Natural Science Foundation of China12004081, 12174122, 12174122,12004081, 62175042
Natural Science Foundation of Guangdong Province2022A1515011482

    Keywords

    • Fractional diffraction
    • Lugiato–Lefever equation
    • Soliton dynamics

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