Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials<br>

doi:10.1016/j.aml.2022.108131

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	Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials
	Zhou, Zijian ; Song, Jin ; Weng, Weifang ; Yan, Zhenya1
	2022-10-01
Source Publication	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
Volume	132 Pages:9
Abstract	In this paper, we consider two types of PT-symmetric non-periodic potentials (PT symmetric harmonic potential and harmonic-Gaussian potential) in the logarithmic nonlinear Schrodinger (LNLS) equation. The exact solitons are found, and shown to be stable for some parameter regions. The interactions are studied between two solitons in the LNLS equation with the two types of PT-symmetric potentials. Moreover, we also study the excitations of solitons in the LNLS equation with the PT-symmetric potentials containing the time-dependent functions. (C) 2022 Elsevier Ltd. All rights reserved.
Keyword	Logarithmic nonlinear Schrodinger equation PT-symmetric potentials Stable solitons Interactions Excitations
DOI	10.1016/j.aml.2022.108131
Indexed By	SCI
Language	英语
Funding Project	National Natural Science Foundation of China[11925108]
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000806625200011
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/61560
Collection	系统科学研究所
Corresponding Author	Yan, Zhenya
Affiliation	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation GB/T 7714	Zhou, Zijian,Song, Jin,Weng, Weifang,et al. Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials [J]. APPLIED MATHEMATICS LETTERS,2022,132:9.
APA	Zhou, Zijian,Song, Jin,Weng, Weifang,&Yan, Zhenya.(2022).Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials .APPLIED MATHEMATICS LETTERS,132,9.
MLA	Zhou, Zijian,et al."Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials ".APPLIED MATHEMATICS LETTERS 132(2022):9.

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