@article{597d655d85864c6c8516a711efa63271,
title = "Solitons supported by a self-defocusing trap in a fractional-diffraction waveguide",
abstract = "We introduce a model which gives rise to self-trapping of fundamental and higher-order localized states in a one-dimensional nonlinear Schr{\"o}dinger 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 L{\'e}vy 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.",
keywords = "Defocusing nonlinearity, Fractional nonlinear Schr{\"o}dinger equation, Localized solutions, Spatial soliton, Stability analysis",
author = "{dos Santos}, {Mateus C.P.} and Malomed, {Boris A.} and Cardoso, {Wesley B.}",
note = "Publisher Copyright: {\textcopyright} 2024 The Physical Society of the Republic of China (Taiwan)",
year = "2024",
month = jun,
doi = "10.1016/j.cjph.2024.01.025",
language = "אנגלית",
volume = "89",
pages = "1474--1482",
journal = "Chinese Journal of Physics",
issn = "0577-9073",
publisher = "Elsevier B.V.",
}