Nonlinear localized modes in PT-symmetric Rosen-Morse potential wells

被引：98

作者：

Midya, Bikashkali ^{[1
]}

Roychoudhury, Rajkumar ^{[1
]}

机构：

[1] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, India

来源：

PHYSICAL REVIEW A | 2013年 / 87卷 / 04期

关键词：

SOLITONS; STABILITY; SPECTRA;

D O I：

10.1103/PhysRevA.87.045803

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We report the existence and properties of localized modes described by a nonlinear Schrodinger equation with a complex PT-symmetric Rosen-Morse potential well. Exact analytical expressions of the localized modes are found in both one-dimensional and two-dimensional geometry with self-focusing and self-defocusing Kerr nonlinearity. Linear stability analysis reveals that these localized modes are unstable for all real values of the potential parameters, although the corresponding linear Schrodinger eigenvalue problem possesses unbroken PT symmetry. This result has been verified by the direct numerical simulation of the governing equation. The transverse power-flow density associated with these localized modes has also been examined. DOI: 10.1103/PhysRevA.87.045803

引用

页数：5

共 50 条

[21] Modulational instability in a PT-symmetric vector nonlinear Schrodinger system
Cole, J. T.
Makris, K. G.
Musslimani, Z. H.
Christodoulides, D. N.
Rotter, S.
PHYSICA D-NONLINEAR PHENOMENA, 2016, 336 : 53 - 61
[22] Hamiltonian formulation of the standard PT-symmetric nonlinear Schrodinger dimer
Barashenkov, I. V.
PHYSICAL REVIEW A, 2014, 90 (04):
[23] Localized modes of the (n+1)-dimensional Schrodinger equation with power-law nonlinearities in PT-symmetric potentials
Dai, Chao-Qing
Zhang, Xiao-Fei
Fan, Yan
Chen, Liang
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 43 : 239 - 250
[24] Dissipative solitons of the nonlinear fractional Schro•dinger equation with PT-symmetric potential
Wang, Ru-Ru
Wang, Yue-Yue
Dai, Chao-Qing
OPTIK, 2022, 254
[25] Molecular spinless energies of the modified Rosen-Morse potential energy model in higher spatial dimensions
Jia, Chun-Sheng
Dai, Jian-Wei
Zhang, Lie-Hui
Liu, Jian-Yi
Zhang, Guang-Dong
CHEMICAL PHYSICS LETTERS, 2015, 619 : 54 - 60
[26] Solitons in PT-symmetric potential with competing nonlinearity
Khare, Avinash
Al-Marzoug, S. M.
Bahlouli, Hocine
PHYSICS LETTERS A, 2012, 376 (45) : 2880 - 2886
[27] The finite PT-symmetric square well potential
Levai, Geza
Kovacs, Jozsef
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2019, 52 (02)
[28] Solitons in fourth-order Schrodinger equation with parity-time-symmetric extended Rosen-Morse potentials
Zhang, Jia-Rui
Zhu, Fang-Yu
Li, Wan-Peng
Shen, Yu-Jia
PHYSICA SCRIPTA, 2023, 98 (08)
[29] Ultrastrong extraordinary transmission and reflection in PT-symmetric Thue-Morse optical waveguide networks
Wu, Jiaye
Yang, Xiangbo
OPTICS EXPRESS, 2017, 25 (22): : 27724 - 27735
[30] Solitary Waves of a PT-Symmetric Nonlinear Dirac Equation
Cuevas-Maraver, Jesus
Kevrekidis, Panayotis G.
Saxena, Avadh
Cooper, Fred
Khare, Avinash
Comech, Andrew
Bender, Carl M.
IEEE JOURNAL OF SELECTED TOPICS IN QUANTUM ELECTRONICS, 2016, 22 (05) : 67 - 75

← 1 2 3 4 5 →