Bubbles and W-shaped solitons in Kerr media with fractional diffraction

被引：26

作者：

Zeng, Liangwei ^{[1
,2
]}

Malomed, Boris A. ^{[3
,4
,5
]}

Mihalache, Dumitru ^{[6
]}

Cai, Yi ^{[1
,2
]}

Lu, Xiaowei ^{[1
,2
]}

Zhu, Qifan ^{[1
,2
]}

Li, Jingzhen ^{[1
,2
]}

机构：

[1] Shenzhen Univ, Coll Phys & Optoelect Engn, Shenzhen 518060, Peoples R China

[2] Shenzhen Univ, Coll Phys & Optoelect Engn, Key Lab Optoelect Devices & Syst, Minist Educ & Guangdong Prov,Shenzhen Key Lab Mic, Shenzhen 518060, Peoples R China

[3] Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Phys Elect, POB 39040, Tel Aviv, Israel

[4] Tel Aviv Univ, Ctr Light Matter Interact, POB 39040, Tel Aviv, Israel

[5] Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile

[6] Horia Hulubei Natl Inst Phys & Nucl Engn, Bucharest 077125, Romania

来源：

NONLINEAR DYNAMICS | 2021年 / 104卷 / 04期

基金：

以色列科学基金会; 中国国家自然科学基金;

关键词：

Nonlinear fractional Schrö dinger equation; Dark states; Defect modes; Thomas– Fermi approximation; Variational approximation; VORTEX SOLITONS; SCHRODINGER-EQUATION; MULTIDIMENSIONAL SOLITONS; SYMMETRY-BREAKING; OPTICAL SOLITONS; SPATIAL SOLITONS; GAP SOLITONS; BRIGHT; DYNAMICS; STABILITY;

D O I：

10.1007/s11071-021-06459-3

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We demonstrate that, with the help of a Gaussian potential barrier, dark modes in the form of a local depression ("bubbles") can be supported by the repulsive Kerr nonlinearity in combination with fractional dimension. Similarly, W-shaped modes are supported by a double potential barrier. Families of the modes are constructed in a numerical form, and also by means of the Thomas-Fermi and variational approximations. All these modes are stable, which is predicted by computation of eigenvalues for small perturbations and confirmed by direct numerical simulations.

引用

页码：4253 / 4264

页数：12

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