KMS Of Academy of mathematics and systems sciences, CAS
| Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics | |
Zhang, Guoqiang1,2; Yan, Zhenya1,2
| |
| 2018-09-01 | |
| Source Publication | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| ISSN | 1007-5704 |
| Volume | 62Pages:117-133 |
| Abstract | The integrable three-component nonlinear Schrodinger equations are systemically explored in this paper. We firstly find the conditions for the modulational instability of plane-wave solutions of the system. Secondly, we present the general formulae for the Nth-order vector rational and semi-rational rogue wave solutions by the generalized Darboux transformation and formal series method. Particularly, we find that the second-order vector rational RWs contain five, seven, and nine fundamental vector RWs, which can arrange with many novel excitation dynamical patterns such as pentagon, triangle, 'clawlike', line, hexagon, arrow, and trapezoid structures. Moreover, we also find two different kinds of Nth-order vector semi-rational RWs: one of which can demonstrate the coexistence of Nth-order vector rational RW and N parallel vector breathers and the other can demonstrate the coexistence of Nth-order vector rational RWs and N th-order Y-shaped vector breathers. We also exhibit distribution patterns of superposition of RWs, which can be constituted of different fundamental RW patterns. Finally, we numerically explore the dynamical behaviors of some chosen RWs. The results could excite the interest in such diverse fields as Bose-Einstein condensates, nonlinear fibers, and superfluids. (c) 2018 Elsevier B.V. All rights reserved. |
| Keyword | equations Modulational instability Darboux transformation Nth-order vector rational and semi-rational rogue waves Superposition of rogue waves Dynamics |
| DOI | 10.1016/j.cnsns.2018.02.008 |
| Language | 英语 |
| Funding Project | NSFC[11731014] ; NSFC[11571346] ; CAS Interdisciplinary Innovation Team |
| WOS Research Area | Mathematics ; Mechanics ; Physics |
| WOS Subject | Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical |
| WOS ID | WOS:000429332800007 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30161 |
| 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 | Zhang, Guoqiang,Yan, Zhenya. Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2018,62:117-133. |
| APA | Zhang, Guoqiang,&Yan, Zhenya.(2018).Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,62,117-133. |
| MLA | Zhang, Guoqiang,et al."Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 62(2018):117-133. |
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