Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation

doi:10.1063/1.4931594

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	Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrodinger equation
	Yang, Yunqing 1,2; Yan, Zhenya3 ; Malomed, Boris A.4
刊名	CHAOS
	2015-10-01
卷号	25 期号:10 页码:9
ISSN号	1054-1500
DOI	10.1063/1.4931594
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
出版者	AMER INST PHYSICS
WOS记录号	WOS:000364235100012
内容类型	期刊论文
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.