Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses

doi:10.1038/s41598-017-01401-3

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	Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses
	Chen, Yong 1,2; Yan, Zhenya1,2 ; Mihalache, Dumitru 3; Malomed, Boris A.4,5
	2017-04-28
发表期刊	SCIENTIFIC REPORTS
ISSN	2045-2322
卷号	7 页码:21
摘要	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
语种	英语
资助项目	NSFC[11571346] ; NSFC[61621003] ; Youth Innovation Promotion Association CAS ; NSF[2015616] ; Binational (US-Israel) Science Foundation[2015616]
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000400247600016
出版者	NATURE PUBLISHING GROUP
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26042
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	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
推荐引用方式 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.