| Issue |
EPL
Volume 122, Number 2, April 2018
|
|
|---|---|---|
| Article Number | 24002 | |
| Number of page(s) | 5 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/122/24002 | |
| Published online | 18 June 2018 | |
Fundamental solitons in the nonlinear fractional Schrödinger equation with a 
-symmetric potential
1 Department of Electronic Information and Physics, Changzhi University - Changzhi, Shanxi 046011, China
2 School of Physics and Telecommunication Engineering, South China Normal University - Guangzhou 510006, China
3 State Key Laboratory of Advanced Optical Communication Systems and Networks, School of Physics and Astronomy, Shanghai Jiao Tong University - Shanghai 200240, China
4 Department of Physics of Zhejiang Normal University - Jinhua 321004, China
5 Department of Physics, Shaanxi University of Science & Technology - Xian 710021, China
Received: 16 March 2018
Accepted: 20 May 2018
We address the existence and stability of fundamental solitons in a -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 Lévy index, the narrower the width of solitons. The linear stability analysis of fundamental solitons has been carried out in fractional dimension. -symmetric solitons are completely stable for a moderate Lévy index and gain/loss coefficient in a wide existence region.
PACS: 42.65.Tg – Optical solitons; nonlinear guided waves / 05.45.Yv – Solitons / 42.25.Bs – Wave propagation, transmission and absorption
© EPLA, 2018
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