KMS Of Academy of mathematics and systems sciences, CAS
| Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms | |
Yang, Yungqing1,2; Wang, Xin3; Yan, Zhenya2
| |
| 2015-07-01 | |
| Source Publication | NONLINEAR DYNAMICS
 |
| ISSN | 0924-090X |
| Volume | 81Issue:1-2Pages:833-842 |
| Abstract | 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. |
| Keyword | 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 |
| Language | 英语 |
| Funding Project | 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 Research Area | Engineering ; Mechanics |
| WOS Subject | Engineering, Mechanical ; Mechanics |
| WOS ID | WOS:000355919700065 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20005 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 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 |
| Recommended Citation 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. |
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