Transformation of multipole and vortex solitons in the nonlocal nonlinear fractional Schrödinger equation by means of \textit{Lévy-index management}

DOI10.1016/j.chaos.2022.111995zbMath1498.78042OpenAlexW4220989340MaRDI QIDQ2098769

Boris A. Malomed, Qing Wang, Dumitru Mihalache, Liangwei Zeng, Ling-Ling Zhang

Publication date: 18 November 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.111995

zbMATH Keywords

vorticitysoliton stabilityadaptive opticsfractional diffractionmultipolaritysoliton \textit{management}

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08) Fractional partial differential equations (35R11)

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Cites Work

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• Soliton Management in Periodic Systems
• Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media: II. The nonlinear theory
• Nonlocal Raman response in Kerr resonators: Moving temporal localized structures and bifurcation structure

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