Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media

doi:10.1063/1.5018107

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	Effect of PT symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media
	Shen, Yujia 1; Wen, Zichao 1,2; Yan, Zhenya1,2 ; Hang, Chao 3,4
	2018-04-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	28 期号:4 页码:11
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.
DOI	10.1063/1.5018107
语种	英语
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
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000431142000008
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/30231
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.