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Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized parity-time-symmetric Scarff-II potentials
Yan, Zhenya1,2; Wen, Zichao1; Hang, Chao3,4,5
2015-08-19
Source PublicationPHYSICAL REVIEW E
ISSN1539-3755
Volume92Issue:2Pages:10
AbstractWe present a unified theoretical study of the bright solitons governed by self-focusing and defocusing nonlinear Schrodinger (NLS) equations with generalized parity-time- (PT) symmetric Scarff-II potentials. Particularly, a PT-symmetric k-wave-number Scarff-II potential and a multiwell Scarff-II potential are considered, respectively. For the k-wave-number Scarff-II potential, the parameter space can be divided into different regions, corresponding to unbroken and broken PT symmetry and the bright solitons for self-focusing and defocusing Kerr nonlinearities. For the multiwell Scarff-II potential the bright solitons can be obtained by using a periodically space-modulated Kerr nonlinearity. The linear stability of bright solitons with PT-symmetric k-wave-number and multiwell Scarff-II potentials is analyzed in detail using numerical simulations. Stable and unstable bright solitons are found in both regions of unbroken and broken PT symmetry due to the existence of the nonlinearity. Furthermore, the bright solitons in three-dimensional self-focusing and defocusing NLS equations with a generalized PT-symmetric Scarff-II potential are explored. This may have potential applications in the field of optical information transmission and processing based on optical solitons in nonlinear dissipative but PT-symmetric systems.
DOI10.1103/PhysRevE.92.022913
Language英语
Funding ProjectNSF-China[61178091] ; NSF-China[11475063] ; NKBRPC[2011CB302400] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China[Y4KF211CJ1]
WOS Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas ; Physics, Mathematical
WOS IDWOS:000359868600009
PublisherAMER PHYSICAL SOC
Citation statistics
Cited Times:46[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20600
Collection系统科学研究所
Affiliation1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
3.E China Normal Univ, State Key Lab Precis Spect, Shanghai 200062, Peoples R China
4.E China Normal Univ, Dept Phys, Shanghai 200062, Peoples R China
5.NYU Shanghai, NYU ECNU Inst Phys, Shanghai 200062, Peoples R China
Recommended Citation
GB/T 7714
Yan, Zhenya,Wen, Zichao,Hang, Chao. Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized parity-time-symmetric Scarff-II potentials[J]. PHYSICAL REVIEW E,2015,92(2):10.
APA Yan, Zhenya,Wen, Zichao,&Hang, Chao.(2015).Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized parity-time-symmetric Scarff-II potentials.PHYSICAL REVIEW E,92(2),10.
MLA Yan, Zhenya,et al."Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized parity-time-symmetric Scarff-II potentials".PHYSICAL REVIEW E 92.2(2015):10.
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