热门
Localized modes of the (n+1)-dimensional Schrodinger equation with power-law nonlinearities in PT-symmetric potentials
文献类型：期刊论文
| 作者 | Dai, Chao-Qing1; Zhang, Xiao-Fei2; Fan, Yan1; Chen, Liang1 |
| 刊名 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| 出版日期 | 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. |
| WOS关键词 | VARIABLE SEPARATION ; SOLITONS ; EXCITATIONS ; MEDIA ; FIBER |
| 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研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000381584800021 |
| 出版者 | ELSEVIER SCIENCE BV |
| 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 |
| 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. |
入库方式： OAI收割
来源：国家授时中心
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。