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Transformation from the nonautonomous to standard NLS equations
Zhao, D.; He, X. -G.; Luo, H. -G.; Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
2009
发表期刊EUROPEAN PHYSICAL JOURNAL D
ISSN1434-6060
卷号53期号:2页码:213-216
摘要In this paper we show a systematical method to obtain exact solutions of the nonautonomous nonlinear Schrodinger (NLS) equation. An integrable condition is first obtained by the Painlev, analysis, which is shown to be consistent with that obtained by the Lax pair method. Under this condition, we present a general transformation, which can directly convert all allowed exact solutions of the standard NLS equation into the corresponding exact solutions of the nonautonomous NLS equation. The method is quite powerful since the standard NLS equation has been well studied in the past decades and its exact solutions are vast in the literature. The result provides an effective way to control the soliton dynamics. Finally, the fundamental bright and dark solitons are taken as examples to demonstrate its explicit applications.
部门归属[Zhao, D; He, XG] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China; [Zhao, D; Luo, HG] Lanzhou Univ, Ctr Interdisciplinary Studies, Lanzhou 730000, Peoples R China; [Luo, HG] Lanzhou Univ, Minist Educ, Key Lab Magnetism & Magnet Mat, Lanzhou 730000, Peoples R China; [Luo, HG] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
关键词Nonlinear Schrodinger-equations Solitons Transmission Dispersion Fibers Dark
学科领域Physics
资助者NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China
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收录类别SCI
资助者NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China
WOS记录号WOS:000266477400014
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被引频次:29[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5310
专题理论物理所SCI论文
通讯作者Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
推荐引用方式
GB/T 7714
Zhao, D.,He, X. -G.,Luo, H. -G.,et al. Transformation from the nonautonomous to standard NLS equations[J]. EUROPEAN PHYSICAL JOURNAL D,2009,53(2):213-216.
APA Zhao, D.,He, X. -G.,Luo, H. -G.,&Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China.(2009).Transformation from the nonautonomous to standard NLS equations.EUROPEAN PHYSICAL JOURNAL D,53(2),213-216.
MLA Zhao, D.,et al."Transformation from the nonautonomous to standard NLS equations".EUROPEAN PHYSICAL JOURNAL D 53.2(2009):213-216.
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