The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons
文献类型：期刊论文
| 作者 | Chen, Shuyan1,2; Yan, Zhenya1,2
|
| 刊名 | PHYSICS LETTERS A
 |
| 出版日期 | 2019-10-15 |
| 卷号 | 383期号:29页码:11 |
| 关键词 | Higher-order nonlinear Schrodinger equation Non-zero boundary conditions Riemann-Hilbert problem Darboux transform Breathers, rogons Solitons |
| ISSN号 | 0375-9601 |
| DOI | 10.1016/j.physleta.2019.125906 |
| 英文摘要 | An integrable three-parameter fifth-order nonlinear Schrodinger equation with non-zero boundary conditions was studied staring from its Lax pair and a robust inverse scattering transform such that one-, and n-fold modified Darboux transforms (DTs) are presented. For distinct parameters, the one-fold DT is used to simultaneously investigate its first- and second-order breathers, rational W-shaped soliton-like solutions, and rogons. Moreover, we also analyze their wave structures, and relations between these solutions and special parameters. The n-fold DT is also established for the fifth-order NLS equation such that its (2n -1, 2n)th-order rogue wave solutions can be found simultaneously. Particularly, we exhibit the third- and fourth-order rogon structures. All these results can also reduce to ones for the special cases of the fifth-order NIS equation such as the NLS equation, Hirota equation, and Lakshmanan-Porsezian-Daniel equation. (C) 2019 Elsevier B.V. All rights reserved. |
| 资助项目 | NSFC[11731014] ; CAS Interdisciplinary Innovation Team |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000488416800006 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35950]  |
| 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 higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons[J]. PHYSICS LETTERS A,2019,383(29):11. |
| APA | Chen, Shuyan,&Yan, Zhenya.(2019).The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons.PHYSICS LETTERS A,383(29),11. |
| MLA | Chen, Shuyan,et al."The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons".PHYSICS LETTERS A 383.29(2019):11. |
入库方式： OAI收割
来源：数学与系统科学研究院
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