KMS Of Academy of mathematics and systems sciences, CAS
| Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses | |
Chen, Yong1,2; Yan, Zhenya1,2 ; Mihalache, Dumitru3; Malomed, Boris A.4,5
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| 2017-04-28 | |
| Source Publication | SCIENTIFIC REPORTS
 |
| ISSN | 2045-2322 |
| Volume | 7Pages:21 |
| Abstract | Since the parity-time-(PT -) symmetric quantum mechanics was put forward, fundamental properties of some linear and nonlinear models with PT -symmetric potentials have been investigated. However, previous studies of PT -symmetric waves were limited to constant diffraction coefficients in the ambient medium. Here we address effects of variable diffraction coefficient on the beam dynamics in nonlinear media with generalized PT -symmetric Scarf-II potentials. The broken linear PT symmetry phase may enjoy a restoration with the growing diffraction parameter. Continuous families of one-and two-dimensional solitons are found to be stable. Particularly, some stable solitons are analytically found. The existence range and propagation dynamics of the solitons are identified. Transformation of the solitons by means of adiabatically varying parameters, and collisions between solitons are studied too. We also explore the evolution of constant-intensity waves in a model combining the variable diffraction coefficient and complex potentials with globally balanced gain and loss, which are more general than PT -symmetric ones, but feature similar properties. Our results may suggest new experiments for PT -symmetric nonlinear waves in nonlinear nonuniform optical media. |
| DOI | 10.1038/s41598-017-01401-3 |
| Language | 英语 |
| Funding Project | NSFC[11571346] ; NSFC[61621003] ; Youth Innovation Promotion Association CAS ; NSF[2015616] ; Binational (US-Israel) Science Foundation[2015616] |
| WOS Research Area | Science & Technology - Other Topics |
| WOS Subject | Multidisciplinary Sciences |
| WOS ID | WOS:000400247600016 |
| Publisher | NATURE PUBLISHING GROUP |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26042 |
| 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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, POB MG-6, Bucharest, Romania 4.Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Phys Elect, IL-59978 Tel Aviv, Israel 5.ITMO Univ, Lab Nonlinear Opt Informat, St Petersburg 197101, Russia |
| Recommended Citation GB/T 7714 | Chen, Yong,Yan, Zhenya,Mihalache, Dumitru,et al. Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses[J]. SCIENTIFIC REPORTS,2017,7:21. |
| APA | Chen, Yong,Yan, Zhenya,Mihalache, Dumitru,&Malomed, Boris A..(2017).Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses.SCIENTIFIC REPORTS,7,21. |
| MLA | Chen, Yong,et al."Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses".SCIENTIFIC REPORTS 7(2017):21. |
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