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
	2015-10-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	25 期号:10 页码:9
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.
DOI	10.1063/1.4931594
语种	英语
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
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000364235100012
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21123
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.