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

文献类型：期刊论文

作者Yang, Yungqing1,2; Wang, Xin3; Yan, Zhenya2
刊名NONLINEAR DYNAMICS
出版日期2015-07-01
卷号81期号:1-2页码:833-842
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
ISSN号0924-090X
DOI10.1007/s11071-015-2033-1
英文摘要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.
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
语种英语
WOS记录号WOS:000355919700065
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/20004]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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