KMS Of Academy of mathematics and systems sciences, CAS
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
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ISSN | 0893-9659 |
Volume | 132Pages: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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