Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation
文献类型：期刊论文
| 作者 | Wen, Xiao-Yong1,2; Yang, Yunqing1,3; Yan, Zhenya1
|
| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 2015-07-22 |
| 卷号 | 92期号:1页码:19 |
| ISSN号 | 1539-3755 |
| DOI | 10.1103/PhysRevE.92.012917 |
| 英文摘要 | In this paper, a simple and constructive method is presented to find the generalized perturbation (n, M)-fold Darboux transformations (DTs) of the modified nonlinear Schrodinger (MNLS) equation in terms of fractional forms of determinants. In particular, we apply the generalized perturbation (1, N - 1)-fold DTs to find its explicit multi-rogue-wave solutions. The wave structures of these rogue-wave solutions of the MNLS equation are discussed in detail for different parameters, which display abundant interesting wave structures, including the triangle and pentagon, etc., and may be useful to study the physical mechanism of multirogue waves in optics. The dynamical behaviors of these multi-rogue-wave solutions are illustrated using numerical simulations. The same Darboux matrix can also be used to investigate the Gerjikov-Ivanov equation such that its multi-rogue-wave solutions and their wave structures are also found. The method can also be extended to find multi-rogue-wave solutions of other nonlinear integrable equations. |
| 资助项目 | NSFC[11375030] ; NSFC[61178091] ; Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| 出版者 | AMER PHYSICAL SOC |
| WOS记录号 | WOS:000358377800015 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20371]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 2.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Dept Math, Beijing 100192, Peoples R China 3.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wen, Xiao-Yong,Yang, Yunqing,Yan, Zhenya. Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation[J]. PHYSICAL REVIEW E,2015,92(1):19. |
| APA | Wen, Xiao-Yong,Yang, Yunqing,&Yan, Zhenya.(2015).Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation.PHYSICAL REVIEW E,92(1),19. |
| MLA | Wen, Xiao-Yong,et al."Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation".PHYSICAL REVIEW E 92.1(2015):19. |
入库方式： OAI收割
来源：数学与系统科学研究院
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