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Fundamental solitons and dynamical analysis in the defocusing Kerr medium and -symmetric rational potential
Li, Xin1,2,3; Chen, Yong2,3; Yan, Zhenya2,3
2018
Source PublicationNONLINEAR DYNAMICS
ISSN0924-090X
Volume91Issue:2Pages:853-861
AbstractWe find that a class of parity-time- (-) symmetric rational potentials can support stable solitons in the defocusing Kerr-nonlinear media, though they may not enjoy entirely real linear spectra. Analytical expressions of spatial solitons are elicited at lots of isolated propagation-constant points, around which several families of numerical fundamental solitons can be found to be stable, which is validated by linear stability analysis and nonlinear wave propagation. Many other intriguing properties of nonlinear localized modes are also discussed in detail, including the interactions, excitations, and transverse power flows. The idea of the -symmetric rational potentials can also be extended to other types of nonlinear wave models.
KeywordNonlinear Schrodinger-like equation PT-symmetric rational potential Bright solitons Interactions Soliton excitations
DOI10.1007/s11071-017-3914-2
Language英语
Funding ProjectNSFC[11571346] ; NSFC[11731014] ; Youth Innovation Promotion Association CAS
WOS Research AreaEngineering ; Mechanics
WOS SubjectEngineering, Mechanical ; Mechanics
WOS IDWOS:000423349400009
PublisherSPRINGER
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29510
Collection系统科学研究所
Affiliation1.Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Li, Xin,Chen, Yong,Yan, Zhenya. Fundamental solitons and dynamical analysis in the defocusing Kerr medium and -symmetric rational potential[J]. NONLINEAR DYNAMICS,2018,91(2):853-861.
APA Li, Xin,Chen, Yong,&Yan, Zhenya.(2018).Fundamental solitons and dynamical analysis in the defocusing Kerr medium and -symmetric rational potential.NONLINEAR DYNAMICS,91(2),853-861.
MLA Li, Xin,et al."Fundamental solitons and dynamical analysis in the defocusing Kerr medium and -symmetric rational potential".NONLINEAR DYNAMICS 91.2(2018):853-861.
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