KMS Of Academy of mathematics and systems sciences, CAS
| Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials | |
| Wang, Li; Yan, Zhenya1 | |
| 2021 | |
| Source Publication | APPLIED MATHEMATICS LETTERS
 |
| ISSN | 0893-9659 |
| Volume | 111Pages:9 |
| Abstract | 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. |
| Keyword | Defocusing nonlinear Schrodinger equation Modulational instability PT-symmetric potential Rogue waves W-shaped solitons |
| DOI | 10.1016/j.aml.2020.106670 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSFC, China[11731014] ; NSFC, China[11925108] ; CAS, China Interdisciplinary Innovation |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000571465000034 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/52257 |
| Collection | 中国科学院数学与系统科学研究院 |
| 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 | 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment