Solitons supported by a self-defocusing trap in a fractional-diffraction waveguide

Mateus C.P. dos Santos*, Boris A. Malomed, Wesley B. Cardoso

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We introduce a model which gives rise to self-trapping of fundamental and higher-order localized states in a one-dimensional nonlinear Schrödinger equation with fractional diffraction and the strength of the self-defocusing nonlinearity growing steeply enough from the center to periphery. The model can be implemented in a planar optical waveguide. Stability regions are identified for the fundamental and dipole (single-node) states in the plane of the Lévy index and the total power (norm), while states of higher orders are unstable. Evolution of unstable states is investigated too, leading to spontaneous conversion towards stable modes with fewer node.

Original languageEnglish
Pages (from-to)1474-1482
Number of pages9
JournalChinese Journal of Physics
Volume89
DOIs
StatePublished - Jun 2024

Funding

FundersFunder number
Israel Science Foundation
Ulsan National Institute of Science and Technology
Conselho Nacional de Desenvolvimento Científico e Tecnológico306105/2022-5
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior1695/22
Instituto Nacional de Ciência e Tecnologia para Excitotoxicidade e Neuroproteção465469/2014-0

    Keywords

    • Defocusing nonlinearity
    • Fractional nonlinear Schrödinger equation
    • Localized solutions
    • Spatial soliton
    • Stability analysis

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