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

[21] Soliton solutions of higher-order generalized derivative nonlinear Schrodinger equation
Bi, Jinbo
Chen, Dengyuan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (07) : 1881 - 1887
[22] Darboux Transformations, Higher-Order Rational Solitons and Rogue Wave Solutions for a (2+1)-Dimensional Nonlinear Schrodinger Equation
Chen, Mi
Li, Biao
Yu, Ya-Xuan
COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (01) : 27 - 36
[23] General higher-order rogue waves in the space-shifted PT-symmetric nonlocal nonlinear Schrodinger equation
Rao, Ji-Guang
Chen, Sheng-An
Wu, Zhao-Jun
He, Jin-Song
ACTA PHYSICA SINICA, 2023, 72 (10)
[24] On the Painleve integrability, periodic wave solutions and soliton solutions of generalized coupled higher-order nonlinear Schrodinger equations
Xu, GQ
Li, ZB
CHAOS SOLITONS & FRACTALS, 2005, 26 (05) : 1363 - 1375
[25] Soliton solutions in the conformable (2+1)-dimensional chiral nonlinear Schrodinger equation
Ghanbari, Behzad
Gomez-Aguilar, J. F.
Bekir, Ahmet
JOURNAL OF OPTICS-INDIA, 2022, 51 (02): : 289 - 316
[26] DEFORMED SOLITON AND POSITON SOLUTIONS FOR THE (2+1)-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION
Yuan, Feng
ROMANIAN REPORTS IN PHYSICS, 2022, 74 (04)
[27] Mixed-type vector solitons for the (2+1)-dimensional coupled higher-order nonlinear Schrodinger equations in optical fibers
Cai, Yue-Jin
Bai, Cheng-Lin
Luo, Qing-Long
Liu, Han-Ze
EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (06):
[28] Soliton Solutions of High-order Nonlinear Schrodinger Equations with Different Laws of Nonlinearities
Hosseini, Kamyar
Matinfar, Mashaallah
Mirzazadeh, Mohammad
REGULAR & CHAOTIC DYNAMICS, 2021, 26 (01): : 105 - 112
[29] Exact Soliton Solutions for the (2+1)-Dimensional Coupled Higher-Order Nonlinear Schroding erEquations in Birefringent Optical Fiber Communication
Cai, Yue-Jin
Bai, Cheng-Lin
Luo, Qing-Long
COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 67 (03) : 273 - 279
[30] Bright and dark optical modulated soliton solutions for the fourth-order (2+1)-dimensional Schrodinger equation with higher-order odd and even terms
Wazwaz, Abdul-Majid
Alyousef, Haifa A.
Ismaeel, Sherif M. E.
El-Tantawy, Samir A.
OPTIK, 2023, 277

← 1 2 3 4 5 →