KMS Of Academy of mathematics and systems sciences, CAS
| The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves | |
Chen, Shuyan; Yan, Zhenya1
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| 2019-09-01 | |
| Source Publication | APPLIED MATHEMATICS LETTERS
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| ISSN | 0893-9659 |
| Volume | 95Pages:65-71 |
| Abstract | The matrix Riemann-Hilbert problem of the Hirota equation with non-zero boundary conditions is investigated. Based on the matrix Riemann-Hilbert problem, the n-fold Darboux transformation is established for the Hirota equation such that (2n - 1, 2n)th-order rogue waves can be found simultaneously. Particularly, we exhibit the first-, second-, third-, and fourth-order rogue waves, and first- and second-order temporal-spatial and spatial periodic breathers for some parameters, respectively. (C) 2019 Elsevier Ltd. All rights reserved. |
| Keyword | Hirota equation Non-zero boundary conditions Riemann-Hilbert problem Darboux transform Breathers Rogue waves |
| DOI | 10.1016/j.aml.2019.03.020 |
| Language | 英语 |
| Funding Project | NSFC[11731014] ; NSFC[61621003] ; CAS Interdisciplinary Innovation Team |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000471089000010 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34947 |
| 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 | Chen, Shuyan,Yan, Zhenya. The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves[J]. APPLIED MATHEMATICS LETTERS,2019,95:65-71. |
| APA | Chen, Shuyan,&Yan, Zhenya.(2019).The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves.APPLIED MATHEMATICS LETTERS,95,65-71. |
| MLA | Chen, Shuyan,et al."The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves".APPLIED MATHEMATICS LETTERS 95(2019):65-71. |
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