KMS Of Academy of mathematics and systems sciences, CAS
| Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations | |
Wen, Xiao-Yong1,2; Yan, Zhenya1
| |
| 2017-02-01 | |
| Source Publication | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| ISSN | 1007-5704 |
| Volume | 43Pages:311-329 |
| Abstract | 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. |
| Keyword | (2+1)-Dimensional KP equation Generalized perturbation Darboux transformation Rational solitons Rogue waves |
| DOI | 10.1016/j.cnsns.2016.07.020 |
| Language | 英语 |
| Funding Project | Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161] ; NSFC[61471406] ; NSFC[11571346] ; Youth Innovation Promotion Association CAS |
| WOS Research Area | Mathematics ; Mechanics ; Physics |
| WOS Subject | Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical |
| WOS ID | WOS:000381584800027 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/23576 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 |
| Recommended Citation 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. |
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