KMS Of Academy of mathematics and systems sciences, CAS
| The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons | |
Chen, Shuyan1,2; Yan, Zhenya1,2
| |
| 2019-10-15 | |
| Source Publication | PHYSICS LETTERS A
 |
| ISSN | 0375-9601 |
| Volume | 383Issue:29Pages:11 |
| Abstract | 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. |
| Keyword | Higher-order nonlinear Schrodinger equation Non-zero boundary conditions Riemann-Hilbert problem Darboux transform Breathers, rogons Solitons |
| DOI | 10.1016/j.physleta.2019.125906 |
| Language | 英语 |
| Funding Project | NSFC[11731014] ; CAS Interdisciplinary Innovation Team |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| WOS ID | WOS:000488416800006 |
| Publisher | ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35951 |
| 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 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. |
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