Fundamental solitons in the nonlinear fractional Schrodinger equation with a PT - symmetric potential

被引：44

作者：

Huang, Changming ^{[1
]}

Deng, Hanying ^{[2
]}

Zhang, Weifeng ^{[3
]}

Ye, Fangwei ^{[3
,4
]}

Dong, Liangwei ^{[5
]}

机构：

[1] Changzhi Univ, Dept Elect Informat & Phys, Changzhi 046011, Shanxi, Peoples R China

[2] South China Normal Univ, Sch Phys & Telecommun Engn, Guangzhou 510006, Guangdong, Peoples R China

[3] Shanghai Jiao Tong Univ, Sch Phys & Astron, State Key Lab Adv Opt Commun Syst & Networks, Shanghai 200240, Peoples R China

[4] Zhejiang Normal Univ, Dept Phys, Jinhua 321004, Peoples R China

[5] Shaanxi Univ Sci & Technol, Dept Phys, Xian 710021, Shaanxi, Peoples R China

来源：

EPL | 2018年 / 122卷 / 02期

基金：

中国国家自然科学基金;

关键词：

QUANTUM-MECHANICS; OPTICS; BEAMS; DYNAMICS;

D O I：

10.1209/0295-5075/122/24002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We address the existence and stability of fundamental solitons in a PT - symmetric Gaussian potential embedded into a material with fractional effects. Fundamental solitary waves with low power both in defocusing and focusing medium originate from the same eigenmode, and the smaller the Levy index, the narrower the width of solitons. The linear stability analysis of fundamental solitons has been carried out in fractional dimension. PT - symmetric solitons are completely stable for a moderate Levy index and gain/loss coefficient in a wide existence region. Copyright (C) EPLA, 2018.

引用

页数：5

共 28 条

[1] Real spectra in non-Hermitian Hamiltonians having PT symmetry
Bender, CM
Boettcher, S
[J]. PHYSICAL REVIEW LETTERS, 1998, 80 (24) : 5243 - 5246
[2] PT-symmetric quantum mechanics
Bender, CM
Boettcher, S
Meisinger, PN
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (05) : 2201 - 2229
[3] Guo B., 2015, Fractional Partial Differential Equations and their Numerical Solutions
[4] Herrmann R., 2018, Fractional Calculus-An Introduction for Physicists
[5] Beam propagation management in a fractional Schrodinger equation
Huang, Changming
Dong, Liangwei
[J]. SCIENTIFIC REPORTS, 2017, 7
[6] Gap solitons in the nonlinear fractional Schrodinger equation with an optical lattice
Huang, Changming
Dong, Liangwei
[J]. OPTICS LETTERS, 2016, 41 (24) : 5636 - 5639
[7] PT symmetry in optics beyond the paraxial approximation
Huang, Changming
Ye, Fangwei
Kartashov, Yaroslav V.
Malomed, Boris A.
Chen, Xianfeng
[J]. OPTICS LETTERS, 2014, 39 (18) : 5443 - 5446
[8] Dynamics of finite energy Airy beams modeled by the fractional Schrodinger equation with a linear potential
Huang, Xianwei
Deng, Zhixiang
Fu, Xiquan
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2017, 34 (05) : 976 - 982
[9] Three-dimensional topological solitons in PT-symmetric optical lattices
Kartashov, Yaroslav V.
Hang, Chao
Huang, Guoxiang
Torner, Lluis
[J]. OPTICA, 2016, 3 (10): : 1048 - 1055
[10] Nonlinear waves in PT-symmetric systems
Konotop, Vladimir V.
Yang, Jianke
Zezyulin, Dmitry A.
[J]. REVIEWS OF MODERN PHYSICS, 2016, 88 (03)

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