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Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials
Wang, Li; Yan, Zhenya1
2021
Source PublicationAPPLIED MATHEMATICS LETTERS
ISSN0893-9659
Volume111Pages:9
AbstractThe defocusing nonlinear Schrodinger (NLS) equation has no the modulational instability, and was not found to possess the rogue wave (RW) phenomenon up to now. In this paper, we firstly investigate some novel nonlinear wave structures in the defocusing NLS equation with real-valued time-dependent and time-independent potentials such that the stable new RWs and W-shaped solitons are found, respectively. Moreover, the interactions of two or three RWs are explored such that the RWs with higher amplitudes are generated in the defocusing NLS equation with real-valued time-dependent potentials. Finally, we study the defocusing NLS equation with complex PT-symmetric potentials such that some RWs and W-shaped solitons are also found. These novel results will be useful to design the related physical experiments to generate the RW phenomena and W-shaped solitons in the case of defocusing nonlinear interactions, and to apply them in the related fields of nonlinear or even linear sciences. (C) 2020 Elsevier Ltd. All rights reserved.
KeywordDefocusing nonlinear Schrodinger equation Modulational instability PT-symmetric potential Rogue waves W-shaped solitons
DOI10.1016/j.aml.2020.106670
Indexed BySCI
Language英语
Funding ProjectNSFC, China[11731014] ; NSFC, China[11925108] ; CAS, China Interdisciplinary Innovation
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000571465000034
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/52257
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYan, Zhenya
Affiliation1.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
Wang, Li,Yan, Zhenya. Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials[J]. APPLIED MATHEMATICS LETTERS,2021,111:9.
APA Wang, Li,&Yan, Zhenya.(2021).Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials.APPLIED MATHEMATICS LETTERS,111,9.
MLA Wang, Li,et al."Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials".APPLIED MATHEMATICS LETTERS 111(2021):9.
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