Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media

doi:10.1063/1.5100294

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	Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media
	Chen, Yong 1; Yan, Zhenya2,3 ; Mihalache, Dumitru 4
	2019-08-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	29 期号:8 页码:10
摘要	We 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.
DOI	10.1063/1.5100294
语种	英语
资助项目	NSF of China (NSFC)[11571346] ; NSF of China (NSFC)[11731014]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000489227100022
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35901
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.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
推荐引用方式 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.