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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
发表期刊NONLINEAR DYNAMICS
ISSN0924-090X
卷号91期号:2页码:853-861
摘要We 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.
关键词Nonlinear Schrodinger-like equation PT-symmetric rational potential Bright solitons Interactions Soliton excitations
DOI10.1007/s11071-017-3914-2
语种英语
资助项目NSFC[11571346] ; NSFC[11731014] ; Youth Innovation Promotion Association CAS
WOS研究方向Engineering ; Mechanics
WOS类目Engineering, Mechanical ; Mechanics
WOS记录号WOS:000423349400009
出版者SPRINGER
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/29510
专题系统科学研究所
通讯作者Yan, Zhenya
作者单位1.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
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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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