Accessible solitons of fractional dimension

Wei Ping Zhong; Milivoj Belić; Yiqi Zhang

doi:10.1016/j.aop.2016.02.007

Accessible solitons of fractional dimension

Wei Ping Zhong
, Milivoj Belić
, Yiqi Zhang

电子与信息学部

Shunde Polytechnic
Texas A University at Qatar

科研成果: 期刊稿件 › 文章 › 同行评审

69 引用（Scopus）

摘要

We demonstrate that accessible solitons described by an extended Schrödinger equation with the Laplacian of fractional dimension can exist in strongly nonlocal nonlinear media. The soliton solutions of the model are constructed by two special functions, the associated Legendre polynomials and the Laguerre polynomials in the fraction-dimensional space. Our results show that these fractional accessible solitons form a soliton family which includes crescent solitons, and asymmetric single-layer and multi-layer necklace solitons.

源语言	英语
页（从-至）	110-116
页数	7
期刊	Annals of Physics
卷	368
DOI	https://doi.org/10.1016/j.aop.2016.02.007
出版状态	已出版 - 1 5月 2016

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abstract = "We demonstrate that accessible solitons described by an extended Schr{\"o}dinger equation with the Laplacian of fractional dimension can exist in strongly nonlocal nonlinear media. The soliton solutions of the model are constructed by two special functions, the associated Legendre polynomials and the Laguerre polynomials in the fraction-dimensional space. Our results show that these fractional accessible solitons form a soliton family which includes crescent solitons, and asymmetric single-layer and multi-layer necklace solitons.",

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AU - Belić, Milivoj

AU - Zhang, Yiqi

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N2 - We demonstrate that accessible solitons described by an extended Schrödinger equation with the Laplacian of fractional dimension can exist in strongly nonlocal nonlinear media. The soliton solutions of the model are constructed by two special functions, the associated Legendre polynomials and the Laguerre polynomials in the fraction-dimensional space. Our results show that these fractional accessible solitons form a soliton family which includes crescent solitons, and asymmetric single-layer and multi-layer necklace solitons.

AB - We demonstrate that accessible solitons described by an extended Schrödinger equation with the Laplacian of fractional dimension can exist in strongly nonlocal nonlinear media. The soliton solutions of the model are constructed by two special functions, the associated Legendre polynomials and the Laguerre polynomials in the fraction-dimensional space. Our results show that these fractional accessible solitons form a soliton family which includes crescent solitons, and asymmetric single-layer and multi-layer necklace solitons.

KW - Fraction-dimensional Schrödinger equation

KW - Self-similar method

KW - Strongly nonlocal nonlinear media

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VL - 368

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Accessible solitons of fractional dimension

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