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Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media
Chen, Yong1; Yan, Zhenya2,3; Mihalache, Dumitru4
2019-08-01
Source PublicationCHAOS
ISSN1054-1500
Volume29Issue:8Pages:10
AbstractWe discover that the physically interesting PT-symmetric Dirac delta-function potentials can not only make sure that the non-Hermitian Hamiltonians admit fully-real linear spectra but also support stable peakons (nonlinear modes) in the Kerr nonlinear Schrodinger equation. For a specific form of the delta-function PT-symmetric potentials, the nonlinear model investigated in this paper is exactly solvable. However, for a class of PT-symmetric signum-function double-well potentials, a novel type of exact flat-top bright solitons can exist stably within a broad range of potential parameters. Intriguingly, the flat-top solitons can be characterized by the finite-order differentiable waveforms and admit the novel features differing from the usual solitons. The excitation features and the direction of transverse power flow of flat-top bright solitons are also explored in detail. These results are useful for the related experimental designs and applications in nonlinear optics and other related fields. Published under license by AIP Publishing.
DOI10.1063/1.5100294
Language英语
Funding ProjectNSF of China (NSFC)[11571346] ; NSF of China (NSFC)[11731014]
WOS Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000489227100022
PublisherAMER INST PHYSICS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35901
Collection系统科学研究所
Corresponding AuthorYan, Zhenya
Affiliation1.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, 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
4.Horia Hulubei Natl Inst Phys & Nucl Engn, POB MG-6, RO-077125 Magurele, Romania
Recommended Citation
GB/T 7714
Chen, Yong,Yan, Zhenya,Mihalache, Dumitru. Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media[J]. CHAOS,2019,29(8):10.
APA Chen, Yong,Yan, Zhenya,&Mihalache, Dumitru.(2019).Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media.CHAOS,29(8),10.
MLA Chen, Yong,et al."Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media".CHAOS 29.8(2019):10.
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