Symmetric and Anti-Symmetric Solitons of the Fractional Second- and Third-Order Nonlinear Schrodinger Equation

被引:118
作者
Cao, Qi-Hao [1 ]
Dai, Chao-Qing [1 ]
机构
[1] Zhejiang A&F Univ, Coll Opt Mech & Elect Engn, Linan 311300, Peoples R China
基金
中国国家自然科学基金;
关键词
OPTICAL SOLITONS;
D O I
10.1088/0256-307X/38/9/090501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The fractional second- and third-order nonlinear Schrodinger equation is studied, symmetric and antisymmetric soliton solutions are derived, and the influence of the Levy index on different solitons is analyzed. The stability and stability interval of solitons are discussed. The anti-interference ability of stable solitons to the small disturbance shows a good robustness.
引用
收藏
页数:4
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共 20 条
[1]   Coupled spatial periodic waves and solitons in the photovoltaic photorefractive crystals [J].
Dai, Chao-Qing ;
Wang, Yue-Yue .
NONLINEAR DYNAMICS, 2020, 102 (03) :1733-1741
[2]   Multi-stable quantum droplets in optical lattices [J].
Dong, Liangwei ;
Qi, Wei ;
Peng, Ping ;
Wang, Linxue ;
Zhou, Hui ;
Huang, Changming .
NONLINEAR DYNAMICS, 2020, 102 (01) :303-310
[3]   Modulational instability and solitons in nonlocal media with competing nonlinearities [J].
Esbensen, B. K. ;
Wlotzka, A. ;
Bache, M. ;
Bang, O. ;
Krolikowski, W. .
PHYSICAL REVIEW A, 2011, 84 (05)
[4]   Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN [J].
Fang, Yin ;
Wu, Gang-Zhou ;
Wang, Yue-Yue ;
Dai, Chao-Qing .
NONLINEAR DYNAMICS, 2021, 105 (01) :603-616
[5]   Comparing contact and dipolar interactions in a Bose-Einstein condensate [J].
Griesmaier, Axel ;
Stuhler, Juergen ;
Koch, Tobias ;
Fattori, Marco ;
Pfau, Tilman ;
Giovanazzi, Stefano .
PHYSICAL REVIEW LETTERS, 2006, 97 (25)
[6]   Dark optical solitons: physics and applications [J].
Kivshar, YS ;
Luther-Davies, B .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 298 (2-3) :81-197
[7]   Quantized Superfluid Vortex Filaments Induced by the Axial Flow Effect [J].
Li, Hao ;
Liu, Chong ;
Yang, Zhan-Ying ;
Yang, Wen-Li .
CHINESE PHYSICS LETTERS, 2020, 37 (03)
[8]   Existence, symmetry breaking bifurcation and stability of two-dimensional optical solitons supported by fractional diffraction [J].
Li, Pengfei ;
Li, Rujiang ;
Dai, Chaoqing .
OPTICS EXPRESS, 2021, 29 (03) :3193-3210
[9]   Symmetry breaking of spatial Kerr solitons in fractional dimension [J].
Li, Pengfei ;
Malomed, Boris A. ;
Mihalache, Dumitru .
CHAOS SOLITONS & FRACTALS, 2020, 132
[10]   The similarities and differences of different plane solitons controlled by (3 [J].
Liu, Xiaoyan ;
Zhou, Qin ;
Biswas, Anjan ;
Alzahrani, Abdullah Kamis ;
Liu, Wenjun .
JOURNAL OF ADVANCED RESEARCH, 2020, 24 :167-173