KMS Of Academy of mathematics and systems sciences, CAS
| Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations | |
| Chen, Yong1; Yan, Zhenya2,3; Malomed, Boris A.4,5,6 | |
| 2022-02-01 | |
| Source Publication | PHYSICA D-NONLINEAR PHENOMENA
 |
| ISSN | 0167-2789 |
| Volume | 430Pages:14 |
| Abstract | We study a class of physically intriguing PT-symmetric generalized Scarf-II (GS-II) potentials, which can support exact solitons in one-and multi-dimensional nonlinear Schrodinger equation. In the 1D and multi-D settings, we find that a properly adjusted localization parameter may support fully real energy spectra. Also, continuous families of fundamental and higher-order solitons are produced. The fundamental states are shown to be stable, while the higher-order ones, including 1D multimodal solitons, 2D solitons, and 3D light bullets, are unstable. Further, we find that the stable solitons can always propagate, in a robust form, remaining trapped in slowly moving potential wells of the GS-II type, which opens the way for manipulations of optical solitons. Solitons may also be transformed into stable forms by means of adiabatic variation of potential parameters. Finally, an alternative type of n-dimensional PT-symmetric GS-II potentials is reported too. These results will be useful to further explore the higher-dimensional PT-symmetric solitons and to design the related physical experiments. (C) 2021 Elsevier B.V. All rights reserved. |
| Keyword | Higher-dimensional nonlinear Schrodinger equation PT -symmetric potentials Stable solitons Adiabatic management |
| DOI | 10.1016/j.physd.2021.133099 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[12001246] ; National Natural Science Foundation of China[11947087] ; National Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014] ; Natural Science Foundation of Jiangsu Province of China[BK20190991] ; NSF of Jiangsu Higher Education Institutions of China[19KJB110011] ; Israel Science Foundation[1286/17] |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical |
| WOS ID | WOS:000766758600009 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60086 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 1.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Tel Aviv Univ, Fac Engn, Dept Phys Elect, Sch Elect Engn, IL-69978 Tel Aviv, Israel 5.Tel Aviv Univ, Ctr Light Matter Interact, IL-69978 Tel Aviv, Israel 6.Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile |
| Recommended Citation GB/T 7714 | Chen, Yong,Yan, Zhenya,Malomed, Boris A.. Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations[J]. PHYSICA D-NONLINEAR PHENOMENA,2022,430:14. |
| APA | Chen, Yong,Yan, Zhenya,&Malomed, Boris A..(2022).Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations.PHYSICA D-NONLINEAR PHENOMENA,430,14. |
| MLA | Chen, Yong,et al."Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations".PHYSICA D-NONLINEAR PHENOMENA 430(2022):14. |
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