The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves
文献类型：期刊论文
| 作者 | Chen, Shuyan; Yan, Zhenya1
|
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2019-09-01 |
| 卷号 | 95页码:65-71 |
| 关键词 | Hirota equation Non-zero boundary conditions Riemann-Hilbert problem Darboux transform Breathers Rogue waves |
| ISSN号 | 0893-9659 |
| DOI | 10.1016/j.aml.2019.03.020 |
| 英文摘要 | 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. |
| 资助项目 | NSFC[11731014] ; NSFC[61621003] ; CAS Interdisciplinary Innovation Team |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000471089000010 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34946]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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