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

页数：8

共 50 条

[31] Soliton solutions and eigenfunctions of linearized operator for a higher-order nonlinear Schrodinger equation
Eskandar, S.
Hoseini, S. M.
CHAOS SOLITONS & FRACTALS, 2018, 106 : 289 - 294
[32] New families of exact soliton-like solutions and dromion solutions to the (2+1)-dimensional higher-order Broer-Kaup equations
Xia, TC
Chen, DY
CHAOS SOLITONS & FRACTALS, 2005, 23 (04) : 1405 - 1411
[33] Multiple-soliton solutions and a generalized double Wronskian determinant to the (2+1)-dimensional nonlinear Schrodinger equations
Gao, Liu
Cheng, Li
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[34] Exact solutions and optical soliton solutions for the (2+1)-dimensional hyperbolic nonlinear Schrodinger equation
Zayed, E. M. E.
Al-Nowehy, Abdul-Ghani
OPTIK, 2016, 127 (12): : 4970 - 4983
[35] Exact and explicit solutions of higher-order nonlinear equations of Schrodinger type
Hassan, M. M.
Khater, A. H.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (11) : 2433 - 2442
[36] Variable coefficient higher-order nonlinear Schrodinger type equations and their solutions
Dan, Jayita
Ghose-Choudhury, A.
Garai, Sudip
OPTIK, 2021, 242
[37] KDV TYPE ASYMPTOTICS FOR SOLUTIONS TO HIGHER-ORDER NONLINEAR SCHRODINGER EQUATIONS
Naumkin, Pavel, I
Sanchez-Suarez, Isahi
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[38] An integrable (2+1)-dimensional nonlinear Schrodinger system and its optical soliton solutions
Hosseini, K.
Sadri, K.
Mirzazadeh, M.
Salahshour, S.
OPTIK, 2021, 229
[39] Darboux transformation and soliton solutions of the (2+1)-dimensional derivative nonlinear Schrodinger hierarchy
Wen, Li-Li
Zhang, Hai-Qiang
NONLINEAR DYNAMICS, 2016, 84 (02) : 863 - 873
[40] HIGHER-ORDER RATIONAL SOLUTIONS FOR THE (2+1)-DIMENSIONAL KMN EQUATION
Wen, Xiaoyong
PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2017, 18 (03): : 191 - 198

← 1 2 3 4 5 →