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 | |
2019-09-01 | |
发表期刊 | APPLIED MATHEMATICS LETTERS |
ISSN | 0893-9659 |
卷号 | 95页码:65-71 |
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. |
关键词 | Hirota equation Non-zero boundary conditions Riemann-Hilbert problem Darboux transform Breathers Rogue waves |
DOI | 10.1016/j.aml.2019.03.020 |
语种 | 英语 |
资助项目 | NSFC[11731014] ; NSFC[61621003] ; CAS Interdisciplinary Innovation Team |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000471089000010 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/34947 |
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. |
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