Soliton solutions and their stabilities of three (2+1)-dimensional PT-symmetric nonlinear Schrodinger equations with higher-order diffraction and nonlinearities

被引:28
作者
Chen, Shao-Jiang [1 ]
Lin, Jia-Ni [1 ]
Wang, Yue-Yue [1 ]
机构
[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Peoples R China
来源
OPTIK | 2019年 / 194卷
基金
中国国家自然科学基金;
关键词
Optical solitons; (2+1)-dimensional PT-symmetric nonlinear; Schrodinger equation; Fourth-order diffraction; Higher-order nonlinear media; SPATIAL SOLITONS; LOCALIZED STRUCTURES; VORTEX SOLITONS; MEDIA; DYNAMICS; LUMP;
D O I
10.1016/j.ijleo.2019.04.099
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The (2 + 1)-dimensional PT-symmetric nonlinear Schrodinger equations with the second-order and fourth-order diffractions and different nonlinear effects are introduced to describe the evolution of optical wave, and the corresponding soliton solutions are analytical presented. From these solutions, we find that the cubic, quintic and septimal nonlinear coefficients are respectively important to the form of soliton in the cubic-quintic, quintic-septimal and cubic-quintic-septimal nonlinear media. The stability of solitons in different nonlinear media with the second-order and fourth-order diffractions and PT-symmetric potentials is studied. The influence of fourth-order diffraction effect on the stability of solitons is discussed.
引用
收藏
页数:8
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