Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media
文献类型：期刊论文
| 作者 | Shen, Yujia1; Wen, Zichao1,2; Yan, Zhenya1,2 ; Hang, Chao3,4
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| 刊名 | CHAOS
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 28期号:4页码:11 |
| ISSN号 | 1054-1500 |
| DOI | 10.1063/1.5018107 |
| 英文摘要 | We 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. |
| 资助项目 | CPSF-CAS Joint Foundation for Excellent Postdoctoral Fellows[2016LH0029] ; China Postdoctoral Science Foundation[2016M601151] ; NSFC[11571346] ; NSFC[11731014] ; NSFC[11475063] ; CAS Interdisciplinary Innovation Team |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000431142000008 |
| 出版者 | AMER INST PHYSICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30230]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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