ITP OpenIR  > SCI期刊论文
Zhao, D.; He, X. -G.; Luo, H. -G.; Zhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Transformation from the nonautonomous to standard NLS equations
Source PublicationEUROPEAN PHYSICAL JOURNAL D
KeywordNonlinear Schrodinger-equations Solitons Transmission Dispersion Fibers Dark
AbstractIn 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.
2009
ISSN1434-6060
Volume53Issue:2Pages:213-216
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China ; NSFC; NCET of China
Citation statistics
Cited Times:31[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5310
CollectionSCI期刊论文
Corresponding AuthorZhao, D , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Recommended Citation
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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