KMS Of Academy of mathematics and systems sciences, CAS
| Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity | |
| Chen, Yong1; Yan, Zhenya2,3; Mihalache, Dumitru4 | |
| 2020-07-21 | |
| Source Publication | PHYSICAL REVIEW E
 |
| ISSN | 1539-3755 |
| Volume | 102Issue:1Pages:11 |
| Abstract | We present an alternative type of parity-time (PT)-symmetric generalized Scarf-II potentials, which makes possible for non-Hermitian Hamiltonians in the classical linear Schrodinger system to possess fully real spectra with unique features such as the multiple PT-symmetric breaking behaviors and to support one-dimensional (1D) stable PT-symmetric solitons of power-law waveform, namely power-law solitons, in focusing Kerr-type nonlinear media. Moreover, PT-symmetric high-order solitons are also derived numerically in 1D and 2D settings. Around the exactly obtained nonlinear propagation constants, families of 1D and 2D localized nonlinear modes are also found numerically. The majority of fundamental nonlinear modes can still keep steady in general, whereas the 1D multipeak solitons and 2D vortex solitons are usually susceptible to suffering from instability. Likewise, similar results occur in the defocusing Kerr-nonlinear media. The obtained results will be useful for understanding the complex dynamics of nonlinear waves that form in PT-symmetric nonlinear media in other physical contexts. |
| DOI | 10.1103/PhysRevE.102.012216 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSFC[11925108] ; NSFC[11731014] ; NSFC[11947087] ; NSF of Jiangsu Province of China[BK20190991] ; NSF of Jiangsu Higher Education Institutions of China[19KJB110011] ; CAS Interdisciplinary Innovation Team |
| WOS Research Area | Physics |
| WOS Subject | Physics, Fluids & Plasmas ; Physics, Mathematical |
| WOS ID | WOS:000551044000004 |
| Publisher | AMER PHYSICAL SOC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/51850 |
| 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.Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, RO-077125 Bucharest, Romania |
| Recommended Citation GB/T 7714 | Chen, Yong,Yan, Zhenya,Mihalache, Dumitru. Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity[J]. PHYSICAL REVIEW E,2020,102(1):11. |
| APA | Chen, Yong,Yan, Zhenya,&Mihalache, Dumitru.(2020).Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity.PHYSICAL REVIEW E,102(1),11. |
| MLA | Chen, Yong,et al."Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity".PHYSICAL REVIEW E 102.1(2020):11. |
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