KMS Of Academy of mathematics and systems sciences, CAS
Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with PT-d-hyperbolic-function potentials | |
| Chen, Yong1; Song, Jin2,3; Li, Xin4; Yan, Zhenya2,3 | |
| 2022-02-01 | |
| Source Publication | CHAOS
 |
| ISSN | 1054-1500 |
| Volume | 32Issue:2Pages:13 |
| Abstract | In this paper, we introduce a class of novel PT- delta-hyperbolic-function potentials composed of the Dirac delta ( x ) and hyperbolic functions, supporting fully real energy spectra in the non-Hermitian Hamiltonian. The threshold curves of PT symmetry breaking are numerically presented. Moreover, in the self-focusing and defocusing Kerr-nonlinear media, the PT-symmetric potentials can also support the stable peakons, keeping the total power and quasi-power conserved. The unstable PT-symmetric peakons can be transformed into other stable peakons by the excitations of potential parameters. Continuous families of additional stable numerical peakons can be produced in internal modes around the exact peakons (even unstable). Further, we find that the stable peakons can always propagate in a robust form, remaining trapped in the slowly moving potential wells, which opens the way for manipulations of optical peakons. Other significant characteristics related to exact peakons, such as the interaction and power flow, are elucidated in detail. These results will be useful in explaining the related physical phenomena and designing the related physical experiments. |
| DOI | 10.1063/5.0080485 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Science Foundation of China (NSFC)[12001246] ; NSF of Jiangsu Province of China[BK20181030] ; NSF of Jiangsu Higher Education Institutions of China[19KJB110011] ; NSFC[11925108] |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Mathematical |
| WOS ID | WOS:000760755800008 |
| Publisher | AIP Publishing |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60060 |
| 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.Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China |
| Recommended Citation GB/T 7714 |
Chen, Yong,Song, Jin,Li, Xin,et al. Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with PT-d-hyperbolic-function potentials [J]. CHAOS,2022,32(2):13. |
| APA |
Chen, Yong,Song, Jin,Li, Xin,&Yan, Zhenya.(2022). Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with PT-d-hyperbolic-function potentials .CHAOS,32(2),13. |
| MLA |
Chen, Yong,et al." Stability and modulation of optical peakons in self-focusing/defocusing Kerr nonlinear media with PT-d-hyperbolic-function potentials ".CHAOS 32.2(2022):13. |
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