Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations
文献类型：期刊论文
| 作者 | Wen, Xiao-Yong1,2; Yan, Zhenya1
|
| 刊名 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| 出版日期 | 2017-02-01 |
| 卷号 | 43页码:311-329 |
| 关键词 | (2+1)-Dimensional KP equation Generalized perturbation Darboux transformation Rational solitons Rogue waves |
| ISSN号 | 1007-5704 |
| DOI | 10.1016/j.cnsns.2016.07.020 |
| 英文摘要 | The novel generalized perturbation (n, M)-fold Darboux transformations (DTs) are reported for the (2 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation and its extension by using the Taylor expansion of the Darboux matrix. The generalized perturbation (1, N - 1) fold DTs are used to find their higher-order rational solitons and rogue wave solutions in terms of determinants. The dynamics behaviors of these rogue waves are discussed in detail for different parameters and time, which display the interesting RW and soliton structures including the triangle, pentagon, heptagon profiles, etc. Moreover, we find that a new phenomenon that the parameter (a) can control the wave structures of the KP equation from the higher-order rogue waves (a not equal 0) into higher-order rational solitons (a = 0) in (x, t)-space with y = const. These results may predict the corresponding dynamical phenomena in the models of fluid mechanics and other physically relevant systems. (C) 2016 Elsevier B.V. All rights reserved. |
| 资助项目 | Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161] ; NSFC[61471406] ; NSFC[11571346] ; Youth Innovation Promotion Association CAS |
| WOS研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000381584800027 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23575]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100190, Peoples R China 2.Beijing Informat Sci & Technol Univ, Dept Math, Sch Appl Sci, Beijing 100192, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wen, Xiao-Yong,Yan, Zhenya. Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2017,43:311-329. |
| APA | Wen, Xiao-Yong,&Yan, Zhenya.(2017).Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,43,311-329. |
| MLA | Wen, Xiao-Yong,et al."Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 43(2017):311-329. |
入库方式： OAI收割
来源：数学与系统科学研究院
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