中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation

文献类型:期刊论文

作者Yang, Yunqing1,2; Yan, Zhenya3; Malomed, Boris A.4
刊名CHAOS
出版日期2015-10-01
卷号25期号:10页码:9
ISSN号1054-1500
DOI10.1063/1.4931594
英文摘要We analytically study rogue-wave (RW) solutions and rational solitons of an integrable fifth-order nonlinear Schrodinger (FONLS) equation with three free parameters. It includes, as particular cases, the usual NLS, Hirota, and Lakshmanan-Porsezian-Daniel equations. We present continuous-wave (CW) solutions and conditions for their modulation instability in the framework of this model. Applying the Darboux transformation to the CW input, novel first-and second-order RW solutions of the FONLS equation are analytically found. In particular, trajectories of motion of peaks and depressions of profiles of the first-and second-order RWs are produced by means of analytical and numerical methods. The solutions also include newly found rational and W-shaped oneand two-soliton modes. The results predict the corresponding dynamical phenomena in extended models of nonlinear fiber optics and other physically relevant integrable systems. (C) 2015 AIP Publishing LLC.
资助项目National Natural Science Foundation of China[61178091] ; National Natural Science Foundation of China[11326165] ; National Natural Science Foundation of China[11202178] ; Zhejiang Provincial Natural Science Foundation of China[LQ12A01008]
WOS研究方向Mathematics ; Physics
语种英语
WOS记录号WOS:000364235100012
出版者AMER INST PHYSICS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21122]  
专题系统科学研究所
通讯作者Yan, Zhenya
作者单位1.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316022, Zhejiang, Peoples R China
2.Key Lab Oceanog Big Data Min & Applicat Zhejiang, Zhoushan 316022, Zhejiang, Peoples R China
3.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China
4.Tel Aviv Univ, Sch Elect Engn, Dept Phys Elect, IL-59978 Tel Aviv, Israel
推荐引用方式
GB/T 7714
Yang, Yunqing,Yan, Zhenya,Malomed, Boris A.. Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation[J]. CHAOS,2015,25(10):9.
APA Yang, Yunqing,Yan, Zhenya,&Malomed, Boris A..(2015).Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation.CHAOS,25(10),9.
MLA Yang, Yunqing,et al."Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation".CHAOS 25.10(2015):9.

入库方式: OAI收割

来源:数学与系统科学研究院

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