KMS Of Academy of mathematics and systems sciences, CAS
| Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential | |
Wen, Xiao-Yong1,2; Yan, Zhenya1 ; Yang, Yunqing3
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| 2016-06-01 | |
| Source Publication | CHAOS
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| ISSN | 1054-1500 |
| Volume | 26Issue:6Pages:11 |
| Abstract | The integrable nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential [M. J. Ablowitz and Z. H. Musslimani, Phys. Rev. Lett. 110, 064105 (2013)] is investigated, which is an integrable extension of the standard nonlinear Schrodinger equation. Its novel higherorder rational solitons are found using the nonlocal version of the generalized perturbation (1, N - 1)-fold Darboux transformation. These rational solitons illustrate abundant wave structures for the distinct choices of parameters (e.g., the strong and weak interactions of bright and dark rational solitons). Moreover, we also explore the dynamical behaviors of these higher-order rational solitons with some small noises on the basis of numerical simulations. Published by AIP Publishing. |
| DOI | 10.1063/1.4954767 |
| Language | 英语 |
| Funding Project | NSFC[11375030] ; NSFC[11571346] ; Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161] |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Mathematical |
| WOS ID | WOS:000379163100023 |
| Publisher | AMER INST PHYSICS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/23056 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 1.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Beijing Informat Sci & Technol Univ, Dept Math, Sch Appl Sci, Beijing 100192, Peoples R China 3.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316022, Zhejiang, Peoples R China |
| Recommended Citation GB/T 7714 | Wen, Xiao-Yong,Yan, Zhenya,Yang, Yunqing. Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential[J]. CHAOS,2016,26(6):11. |
| APA | Wen, Xiao-Yong,Yan, Zhenya,&Yang, Yunqing.(2016).Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential.CHAOS,26(6),11. |
| MLA | Wen, Xiao-Yong,et al."Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential".CHAOS 26.6(2016):11. |
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