KMS Of Academy of mathematics and systems sciences, CAS
| Multi-dimensional stable fundamental solitons and excitations in PT-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions | |
Chen, Yong1,2; Yan, Zhenya1,2
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| 2018-04-01 | |
| Source Publication | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| ISSN | 1007-5704 |
| Volume | 57Pages:34-46 |
| Abstract | 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. |
| Keyword | Multi-dimensional nonlinear Schrodinger-like equation PT-symmetric harmonic-Gaussian potential Stable solitons Interactions Soliton excitations |
| DOI | 10.1016/j.cnsns.2017.09.014 |
| Language | 英语 |
| Funding Project | NSFC[11571346] ; NSFC[11731014] ; Youth Innovation Promotion Association CAS |
| WOS Research Area | Mathematics ; Mechanics ; Physics |
| WOS Subject | Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical |
| WOS ID | WOS:000415834200005 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/138 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 |
| Recommended Citation 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. |
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