Analytical optical soliton solutions of (2+1)-dimensional Schrodinger equation with PT-like potentials

被引：2

作者：

Wang, Gangwei ^{[1
]}

Su, Xing ^{[1
]}

Wang, Yue ^{[1
]}

Wang, Qi ^{[1
]}

Dong, Xiaofang ^{[1
]}

机构：

[1] Hebei Univ Econ & Business, Sch Math & Stat, Shijiazhuang 050061, Hebei, Peoples R China

来源：

OPTIK | 2018年 / 160卷

关键词：

Schrodinger equation; PT-symmetry; Solitons; Analytical solutions;

D O I：

10.1016/j.ijleo.2018.01.127

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

This paper studies the (2+1)-dimensional Schrodinger equation involving PT-like potentials. First, we transform the original equation to two partial differential equations. And then, for various imaginary part (should be an odd function), we construct different soliton solutions for different non-Kerr law nonlinearity. They are parabolic law, polynomial law and dual power law. (C) 2018 Elsevier GmbH. All rights reserved.

引用

页码：396 / 401

页数：6

共 50 条

[1] Analytical solutions to a class of nonlinear Schrodinger equations with PT-like potentials
Musslimani, Ziad H.
Makris, Konstantinos G.
El-Ganainy, Ramy
Christodoulides, Demetrios N.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (24)
[2] 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
[3] Hybrid soliton solutions in the (2+1)-dimensional nonlinear Schrodinger equation
Chen, Meidan
Li, Biao
MODERN PHYSICS LETTERS B, 2017, 31 (32):
[4] Optical soliton solutions to a (2+1) dimensional Schrodinger equation using a couple of integration architectures
Cankal, Pelin Dogan
Yasar, Emrullah
APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2021, 6 (01) : 381 - 396
[5] 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
[6] DEFORMED SOLITON AND POSITON SOLUTIONS FOR THE (2+1)-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION
Yuan, Feng
ROMANIAN REPORTS IN PHYSICS, 2022, 74 (04)
[7] Analytical multi-soliton solutions of a (2+1)-dimensional breaking soliton equation
Wang, Shao-fu
SPRINGERPLUS, 2016, 5
[8] New Soliton-like Solutions for(2+1)-Dimensional Breaking Soliton Equation
XIE Zheng ZHANG Hong-Qing Department of Applied Mathematics
CommunicationsinTheoreticalPhysics, 2005, 43 (03) : 401 - 406
[9] New soliton-like solutions for (2+1)-dimensional breaking soliton equation
Xie, Z
Zhang, HQ
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 43 (03) : 401 - 406
[10] Analytical soliton solutions of the (2+1)-dimensional sine-Gordon equation
Shi, Rui
Song, Zhijie
Feng, Tao
Wang, Gangwei
Wang, Xin
NONLINEAR DYNAMICS, 2017, 88 (01) : 255 - 262

← 1 2 3 4 5 →