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Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media
Shen, Yujia1; Wen, Zichao1,2; Yan, Zhenya1,2; Hang, Chao3,4
2018-04-01
Source PublicationCHAOS
ISSN1054-1500
Volume28Issue:4Pages:11
AbstractWe study the three-wave interaction that couples an electromagnetic pump wave to two frequency down-converted daughter waves in a quadratic optical crystal and PT-symmetric potentials. PT symmetric potentials are shown to modulate stably nonlinear modes in two kinds of three-wave interaction models. The first one is a spatially extended three-wave interaction system with odd gain-and-loss distribution in the channel. Modulated by the PT-symmetric single-well or multi-well Scarf-II potentials, the system is numerically shown to possess stable soliton solutions. Via adiabatical change of system parameters, numerical simulations for the excitation and evolution of nonlinear modes are also performed. The second one is a combination of PT-symmetric models which are coupled via three-wave interactions. Families of nonlinear modes are found with some particular choices of parameters. Stable and unstable nonlinear modes are shown in distinct families by means of numerical simulations. These results will be useful to further investigate nonlinear modes in three-wave interaction models. Published by AIP Publishing.
DOI10.1063/1.5018107
Language英语
Funding ProjectCPSF-CAS Joint Foundation for Excellent Postdoctoral Fellows[2016LH0029] ; China Postdoctoral Science Foundation[2016M601151] ; NSFC[11571346] ; NSFC[11731014] ; NSFC[11475063] ; CAS Interdisciplinary Innovation Team
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000431142000008
PublisherAMER INST PHYSICS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30231
Collection系统科学研究所
Affiliation1.Chinese Acad Sci, Acad Math & 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.East China Normal Univ, Sch Phys & Mat Sci, State Key Lab Precis Spect, Shanghai 200062, Peoples R China
4.NYU Shanghai, NYU ECNU Joint Inst Phys, Shanghai 200062, Peoples R China
Recommended Citation
GB/T 7714
Shen, Yujia,Wen, Zichao,Yan, Zhenya,et al. Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media[J]. CHAOS,2018,28(4):11.
APA Shen, Yujia,Wen, Zichao,Yan, Zhenya,&Hang, Chao.(2018).Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media.CHAOS,28(4),11.
MLA Shen, Yujia,et al."Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media".CHAOS 28.4(2018):11.
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