Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms

doi:10.1007/s11071-015-2033-1

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	Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms
	Yang, Yungqing 1,2; Wang, Xin 3; Yan, Zhenya2
	2015-07-01
发表期刊	NONLINEAR DYNAMICS
ISSN	0924-090X
卷号	81 期号:1-2 页码:833-842
摘要	We investigate optical temporal rogue waves of the generalized nonlinear Schrodinger (NLS) equation with higher-order odd and even terms and space-and time-modulated coefficients, which includes the NLS equation, Lakshmanan-Porsezian-Daniel (LPD) equation, Hirota equation, Chen-Lee-Liu equation, and Kaup-Newell derivative NLS equation. Based on the similarity reduction method, the generalized NLS equation can be reduced to the integrable LPD-Hirota equation under a set of constraint conditions, from which the solutions of generalized NLS equation can be obtained in the basis of solutions of the LPD-Hirota equation and the similarity transformation. In particular, the first-and second-order self-similar rogue wave solutions of the generalized NLS equation are derived under different parameters, and the contour profiles and density evolutions of self-similar rogue wave solutions are given to study their wave structures and dynamic properties. At the same time, the motions of the hump and valleys related to the self-similar rogue waves are also given, from which we can control and manage the self-similar rogue waves by adjusting the third-order dispersion term. These results may be useful in nonlinear optics and related fields.
关键词	The generalized nonlinear Schrodinger (NLS) equation The LPD-Hirota equation Similarity reduction method Rogue wave solutions Motions of the hump and valleys
DOI	10.1007/s11071-015-2033-1
语种	英语
资助项目	National Natural Science Foundation of China[61178091] ; National Natural Science Foundation of China[11326165] ; Zhejiang Provincial Natural Science Foundation of China[LQ12A01008] ; China Post-doctoral Science Foundation[2014M550863]
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
WOS记录号	WOS:000355919700065
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20005
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 316004, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China 3.E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
推荐引用方式 GB/T 7714	Yang, Yungqing,Wang, Xin,Yan, Zhenya. Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms[J]. NONLINEAR DYNAMICS,2015,81(1-2):833-842.
APA	Yang, Yungqing,Wang, Xin,&Yan, Zhenya.(2015).Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms.NONLINEAR DYNAMICS,81(1-2),833-842.
MLA	Yang, Yungqing,et al."Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms".NONLINEAR DYNAMICS 81.1-2(2015):833-842.