Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation
文献类型：期刊论文
| 作者 | Wen, Xiao-Yong1,2; Zhang, Guoqiang2,3 |
| 刊名 | MODERN PHYSICS LETTERS B
 |
| 出版日期 | 2018-01-10 |
| 卷号 | 32期号:1页码:21 |
| 关键词 | Generalized perturbation (n, N - n)-fold Darboux transformation the Kundu equation higher-order implicit RW solutions numerical simulations |
| ISSN号 | 0217-9849 |
| DOI | 10.1142/S0217984918500057 |
| 英文摘要 | Under investigation in this paper is the Kundu equation, which may be used to describe the propagation process of ultrashort optical pulses in nonlinear optics. The modulational instability of the plane-wave for the possible reason of the formation of the rogue wave (RW) is studied for the system. Based on our proposed generalized perturbation (m, N - n)-fold Darboux transformation (DT), some new higher-order implicit RW solutions in terms of determinants are obtained by means of the generalized perturbation (1, N - 1)-fold DT, when choosing different special parameters, these results will reduce to the RW solutions of the Kaup-Newell (KN) equation, Chen-Lee-Liu (CLL) equation and Gerjikov-Ivanov (GI) equation, respectively. The relevant wave structures are shown graphically, which display abundant interesting wave structures. The dynamical behaviors and propagation stability of the first-order and second-order RW solutions are discussed by using numerical simulations, the higher-order nonlinear terms for the Kundu equation have an impact on the propagation instability of the RW. The method can also be extended to find the higher-order RW or rational solutions of other integrable nonlinear equations. |
| 资助项目 | China Postdoctoral Science Foundation[2015M570161] ; Beijing Natural Science Foundation[1153004] ; NSFC[11375030] ; NSFC[11401031] ; Beijing Information Science and Technology University[QXTCP B201704] ; Qin Xin Talents Cultivation Program |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000419927700013 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29303]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wen, Xiao-Yong |
| 作者单位 | 1.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mech, Inst Syst Sci, AMSS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wen, Xiao-Yong,Zhang, Guoqiang. Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation[J]. MODERN PHYSICS LETTERS B,2018,32(1):21. |
| APA | Wen, Xiao-Yong,&Zhang, Guoqiang.(2018).Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation.MODERN PHYSICS LETTERS B,32(1),21. |
| MLA | Wen, Xiao-Yong,et al."Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation".MODERN PHYSICS LETTERS B 32.1(2018):21. |
入库方式： OAI收割
来源：数学与系统科学研究院
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