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One-dimensional solitons in fractional Schrödinger equation with a spatially periodical modulated nonlinearity: Nonlinear lattice
Zeng, Liangwei1,2; Zeng, Jianhua1,2
作者部门瞬态光学研究室
2019-06-01
发表期刊Optics Letters
ISSN01469592
卷号44期号:11页码:2661-2664
产权排序1
摘要

The existence and stability of stable bright solitons in one-dimensional (1D) fractional media with a spatially periodical modulated Kerr nonlinearity (nonlinear lattice), supported by the recently introduced nonlinear fractional Schrödinger equation, are demonstrated by means of the linear-stability analysis and in direct numerical simulations. Both 1D fundamental and multipole solitons (in forms of dipole and tripole ones) are found, which occupy one or three cells of the nonlinear lattice, respectively, depending on the soliton’s power. We find that the profiles of the predicted soliton families are impacted intensely by the Lévy index α, and so are their stability. The soliton families are stable if α exceeds a threshold value, below which the balance between fractional-order diffraction and the spatially modulated focusing nonlinearity will be broken. © 2019 Optical Society of America.

DOI10.1364/OL.44.002661
收录类别SCI ; EI
语种英语
WOS记录号WOS:000469838100013
出版者OSA - The Optical Society
EI入藏号20192307003979
引用统计
被引频次:64[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.opt.ac.cn/handle/181661/31538
专题瞬态光学研究室
通讯作者Zeng, Jianhua
作者单位1.State Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics of CAS, Xi’an; 710119, China;
2.University of Chinese Academy of Sciences, Beijing; 100049, China
推荐引用方式
GB/T 7714
Zeng, Liangwei,Zeng, Jianhua. One-dimensional solitons in fractional Schrödinger equation with a spatially periodical modulated nonlinearity: Nonlinear lattice[J]. Optics Letters,2019,44(11):2661-2664.
APA Zeng, Liangwei,&Zeng, Jianhua.(2019).One-dimensional solitons in fractional Schrödinger equation with a spatially periodical modulated nonlinearity: Nonlinear lattice.Optics Letters,44(11),2661-2664.
MLA Zeng, Liangwei,et al."One-dimensional solitons in fractional Schrödinger equation with a spatially periodical modulated nonlinearity: Nonlinear lattice".Optics Letters 44.11(2019):2661-2664.
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