KMS Of Academy of mathematics and systems sciences, CAS
| Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media | |
Chen, Yong1; Yan, Zhenya2,3 ; Mihalache, Dumitru4
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| 2019-08-01 | |
| Source Publication | CHAOS
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| ISSN | 1054-1500 |
| Volume | 29Issue:8Pages:10 |
| Abstract | We discover that the physically interesting PT-symmetric Dirac delta-function potentials can not only make sure that the non-Hermitian Hamiltonians admit fully-real linear spectra but also support stable peakons (nonlinear modes) in the Kerr nonlinear Schrodinger equation. For a specific form of the delta-function PT-symmetric potentials, the nonlinear model investigated in this paper is exactly solvable. However, for a class of PT-symmetric signum-function double-well potentials, a novel type of exact flat-top bright solitons can exist stably within a broad range of potential parameters. Intriguingly, the flat-top solitons can be characterized by the finite-order differentiable waveforms and admit the novel features differing from the usual solitons. The excitation features and the direction of transverse power flow of flat-top bright solitons are also explored in detail. These results are useful for the related experimental designs and applications in nonlinear optics and other related fields. Published under license by AIP Publishing. |
| DOI | 10.1063/1.5100294 |
| Language | 英语 |
| Funding Project | NSF of China (NSFC)[11571346] ; NSF of China (NSFC)[11731014] |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Mathematical |
| WOS ID | WOS:000489227100022 |
| Publisher | AMER INST PHYSICS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35901 |
| Collection | 系统科学研究所 |
| 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.Horia Hulubei Natl Inst Phys & Nucl Engn, POB MG-6, RO-077125 Magurele, Romania |
| Recommended Citation GB/T 7714 | Chen, Yong,Yan, Zhenya,Mihalache, Dumitru. Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media[J]. CHAOS,2019,29(8):10. |
| APA | Chen, Yong,Yan, Zhenya,&Mihalache, Dumitru.(2019).Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media.CHAOS,29(8),10. |
| MLA | Chen, Yong,et al."Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media".CHAOS 29.8(2019):10. |
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