Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials | |
Wang, Li; Yan, Zhenya2 | |
刊名 | APPLIED MATHEMATICS LETTERS |
2021 | |
卷号 | 111页码:9 |
关键词 | Defocusing nonlinear Schrodinger equation Modulational instability PT-symmetric potential Rogue waves W-shaped solitons |
ISSN号 | 0893-9659 |
DOI | 10.1016/j.aml.2020.106670 |
英文摘要 | The 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. |
资助项目 | NSFC, China[11731014] ; NSFC, China[11925108] ; CAS, China Interdisciplinary Innovation |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
WOS记录号 | WOS:000571465000034 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52256] |
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China |
推荐引用方式 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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