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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
刊名	EUROPEAN PHYSICAL JOURNAL D
	2009
卷号	53期号:2页码:213-216
关键词	Nonlinear Schrodinger-equations Solitons Transmission Dispersion Fibers Dark
ISSN号	1434-6060
英文摘要	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.
学科主题	Physics
URL标识	查看原文
WOS记录号	WOS:000266477400014
公开日期	2012-08-02
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/5310]
专题	理论物理研究所_理论物理所1978-2010年知识产出
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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