Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions
文献类型：期刊论文
| 作者 | Chen, Yong1,2; Yan, Zhenya1,2
|
| 刊名 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 57页码:34-46 |
| ISSN号 | 1007-5704 |
| 关键词 | Multi-dimensional nonlinear Schrodinger-like equation PT-symmetric harmonic-Gaussian potential Stable solitons Interactions Soliton excitations |
| DOI | 10.1016/j.cnsns.2017.09.014 |
| 英文摘要 | We demonstrate the parity-time-(PT-) symmetric harmonic-Gaussian potential with unbounded gain-and-loss distribution can support entirely-real linear spectra, stable spatial and spatio-temporal solitons in an inhomogeneous nonlinear medium (e.g., cubic nonlinear Schrodinger equation with the self-focusing and defocusing cases). Exact analytical solitons are derived in both one-dimensional (1D) and higher-dimensional (e.g., 2D, 3D) geometries such that they are verified to be stable in the given parameters regions. Particularly, several families of numerical fundamental solitons (especially the 1D double-peaked solitons, 2D vortex solitons, and 3D double bullets) can be found to be stable around the propagation parameters for exact solitons. Other significant properties of solitons are also explored including the interactions of solitons, stable soliton excitations, and transverse power flows. The results may excite the corresponding theoretical analysis and experiment designs. (C) 2017 Elsevier B.V. All rights reserved. |
| 资助项目 | NSFC[11571346] ; NSFC[11731014] ; Youth Innovation Promotion Association CAS |
| WOS研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| 出版者 | ELSEVIER SCIENCE BV |
| WOS记录号 | WOS:000415834200005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/138]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mech, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Yong,Yan, Zhenya. Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2018,57:34-46. |
| APA | Chen, Yong,&Yan, Zhenya.(2018).Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,57,34-46. |
| MLA | Chen, Yong,et al."Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 57(2018):34-46. |
入库方式： OAI收割
来源：数学与系统科学研究院
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