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He, Xu-Gang; Zhao, Dun; Li, Lin; Luo, Hong-Gang; He, XG , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Engineering integrable nonautonomous nonlinear Schrodinger equations
Source PublicationPHYSICAL REVIEW E
KeywordPartial-differential Equations Dispersion Management Evolution-equations Varying Dispersion Painleve Property Soliton-solutions Optical-soliton Dynamics Model Waves
AbstractWe investigate Painleve integrability of a generalized nonautonomous one-dimensional nonlinear Schrodinger (NLS) equation with time- and space-dependent dispersion, nonlinearity, and external potentials. Through the Painleve analysis some explicit requirements on the dispersion, nonlinearity, dissipation/gain, and the external potential as well as the constraint conditions are identified. It provides an explicit way to engineer integrable nonautonomous NLS equations at least in the sense of Painleve integrability. Furthermore analytical solutions of this class of integrable nonautonomous NLS equations can be obtained explicitly from the solutions of the standard NLS equation by a general transformation. The result provides a significant way to control coherently the soliton dynamics in the corresponding nonlinear systems, as that in Bose-Einstein condensate experiments. We analyze explicitly the soliton dynamics under the nonlinearity management and the external potentials and discuss its application in the matter-wave dynamics. Some comparisons with the previous works have also been discussed.
2009
ISSN1539-3755
Volume79Issue:5Pages:-
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNCET; NSF; National Program for Basic Research of China ; NCET; NSF; National Program for Basic Research of China ; NCET; NSF; National Program for Basic Research of China ; NCET; NSF; National Program for Basic Research of China
Citation statistics
Cited Times:86[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5335
Collection理论物理所科研产出_SCI论文
Corresponding AuthorHe, XG , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Recommended Citation
GB/T 7714
He, Xu-Gang,Zhao, Dun,Li, Lin,et al. Engineering integrable nonautonomous nonlinear Schrodinger equations[J]. PHYSICAL REVIEW E,2009,79(5):-.
APA He, Xu-Gang,Zhao, Dun,Li, Lin,Luo, Hong-Gang,&He, XG , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China.(2009).Engineering integrable nonautonomous nonlinear Schrodinger equations.PHYSICAL REVIEW E,79(5),-.
MLA He, Xu-Gang,et al."Engineering integrable nonautonomous nonlinear Schrodinger equations".PHYSICAL REVIEW E 79.5(2009):-.
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