Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations

doi:10.1016/j.physd.2021.133099

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	Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations
	Chen, Yong 1; Yan, Zhenya 2,3; Malomed, Boris A.4,5,6
	2022-02-01
发表期刊	PHYSICA D-NONLINEAR PHENOMENA
ISSN	0167-2789
卷号	430 页码:14
摘要	We study a class of physically intriguing PT-symmetric generalized Scarf-II (GS-II) potentials, which can support exact solitons in one-and multi-dimensional nonlinear Schrodinger equation. In the 1D and multi-D settings, we find that a properly adjusted localization parameter may support fully real energy spectra. Also, continuous families of fundamental and higher-order solitons are produced. The fundamental states are shown to be stable, while the higher-order ones, including 1D multimodal solitons, 2D solitons, and 3D light bullets, are unstable. Further, we find that the stable solitons can always propagate, in a robust form, remaining trapped in slowly moving potential wells of the GS-II type, which opens the way for manipulations of optical solitons. Solitons may also be transformed into stable forms by means of adiabatic variation of potential parameters. Finally, an alternative type of n-dimensional PT-symmetric GS-II potentials is reported too. These results will be useful to further explore the higher-dimensional PT-symmetric solitons and to design the related physical experiments. (C) 2021 Elsevier B.V. All rights reserved.
关键词	Higher-dimensional nonlinear Schrodinger equation PT -symmetric potentials Stable solitons Adiabatic management
DOI	10.1016/j.physd.2021.133099
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[12001246] ; National Natural Science Foundation of China[11947087] ; National Natural Science Foundation of China[11925108] ; National Natural Science Foundation of China[11731014] ; Natural Science Foundation of Jiangsu Province of China[BK20190991] ; NSF of Jiangsu Higher Education Institutions of China[19KJB110011] ; Israel Science Foundation[1286/17]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Fluids & Plasmas ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000766758600009
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60086
专题	中国科学院数学与系统科学研究院
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.Tel Aviv Univ, Fac Engn, Dept Phys Elect, Sch Elect Engn, IL-69978 Tel Aviv, Israel 5.Tel Aviv Univ, Ctr Light Matter Interact, IL-69978 Tel Aviv, Israel 6.Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile
推荐引用方式 GB/T 7714	Chen, Yong,Yan, Zhenya,Malomed, Boris A.. Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations[J]. PHYSICA D-NONLINEAR PHENOMENA,2022,430:14.
APA	Chen, Yong,Yan, Zhenya,&Malomed, Boris A..(2022).Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations.PHYSICA D-NONLINEAR PHENOMENA,430,14.
MLA	Chen, Yong,et al."Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations".PHYSICA D-NONLINEAR PHENOMENA 430(2022):14.