Localized modes of the (n+1)-dimensional Schrodinger equation with power-law nonlinearities in PT-symmetric potentials

doi:10.1016/j.cnsns.2016.07.002

	Localized modes of the (n+1)-dimensional Schrodinger equation with power-law nonlinearities in PT-symmetric potentials
	Dai, Chao-Qing 1; Zhang, Xiao-Fei 2; Fan, Yan 1; Chen, Liang 1
刊名	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
	2017-02-01
卷号	43 页码:239-250
关键词	Localized modes PT-symmetric potential (n+1)-dimensional nonlinear Schrodinger equations power-law nonlinearity Stability
ISSN号	1007-5704
DOI	10.1016/j.cnsns.2016.07.002
英文摘要	We investigate the generalized (n+1)-dimensional nonlinear Schrodinger equation with power-law nonlinearity in PT-symmetric potentials, and derive two families of analytical sech-type and Gaussian-type localized modes (soliton solutions). Based on these analytical solutions, the powers, power-flow densities and the phase jumps are analyzed. The linear stability analysis and the direct numerical simulation for these exact solutions indicate that sech-type and Gaussian-type solutions are both stable below some thresholds for the imaginary part of PT-symmetric potentials (except for the extended Rosen-Morse potential) in the focusing power-law nonlinear medium, while they are always unstable in the defocusing power-law nonlinear medium. The gain (loss) related to the values of the imaginary part of the potential (W-n) should be enough small compared with the fixed value of the real part of the potential (V-0) in order to ensure the stability of exact solutions. (C) 2016 Elsevier B.V. All rights reserved.
资助项目	Zhejiang Provincial Natural Science Foundation of China[Y17F050046] ; National Natural Science Foundation of China[11375007] ; Foundation of New Century "151 Talent Engineering" of Zhejiang Province of China ; Youth Top-notch Talent Development and Training Program of Zhejiang AF University
WOS关键词	VARIABLE SEPARATION ; SOLITONS ; EXCITATIONS ; MEDIA ; FIBER
WOS研究方向	Mathematics ; Mechanics ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000381584800021
资助机构	Zhejiang Provincial Natural Science Foundation of China ; Zhejiang Provincial Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of New Century "151 Talent Engineering" of Zhejiang Province of China ; Foundation of New Century "151 Talent Engineering" of Zhejiang Province of China ; Youth Top-notch Talent Development and Training Program of Zhejiang AF University ; Youth Top-notch Talent Development and Training Program of Zhejiang AF University ; Zhejiang Provincial Natural Science Foundation of China ; Zhejiang Provincial Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of New Century "151 Talent Engineering" of Zhejiang Province of China ; Foundation of New Century "151 Talent Engineering" of Zhejiang Province of China ; Youth Top-notch Talent Development and Training Program of Zhejiang AF University ; Youth Top-notch Talent Development and Training Program of Zhejiang AF University ; Zhejiang Provincial Natural Science Foundation of China ; Zhejiang Provincial Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of New Century "151 Talent Engineering" of Zhejiang Province of China ; Foundation of New Century "151 Talent Engineering" of Zhejiang Province of China ; Youth Top-notch Talent Development and Training Program of Zhejiang AF University ; Youth Top-notch Talent Development and Training Program of Zhejiang AF University ; Zhejiang Provincial Natural Science Foundation of China ; Zhejiang Provincial Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of New Century "151 Talent Engineering" of Zhejiang Province of China ; Foundation of New Century "151 Talent Engineering" of Zhejiang Province of China ; Youth Top-notch Talent Development and Training Program of Zhejiang AF University ; Youth Top-notch Talent Development and Training Program of Zhejiang AF University
内容类型	期刊论文
源URL	[http://210.72.145.45/handle/361003/11286]
专题	中国科学院国家授时中心
通讯作者	Dai, Chao-Qing
作者单位	1.Zhejiang A&F Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China 2.Chinese Acad Sci, Natl Time Serv Ctr, Key Lab Time & Frequency Primary Stand, Xian 710600, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Dai, Chao-Qing,Zhang, Xiao-Fei,Fan, Yan,et al. Localized modes of the (n+1)-dimensional Schrodinger equation with power-law nonlinearities in PT-symmetric potentials[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2017,43:239-250.
APA	Dai, Chao-Qing,Zhang, Xiao-Fei,Fan, Yan,&Chen, Liang.(2017).Localized modes of the (n+1)-dimensional Schrodinger equation with power-law nonlinearities in PT-symmetric potentials.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,43,239-250.
MLA	Dai, Chao-Qing,et al."Localized modes of the (n+1)-dimensional Schrodinger equation with power-law nonlinearities in PT-symmetric potentials".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 43(2017):239-250.