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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
发表期刊PHYSICAL REVIEW E
关键词Partial-differential Equations Dispersion Management Evolution-equations Varying Dispersion Painleve Property Soliton-solutions Optical-soliton Dynamics Model Waves
摘要We 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
卷号79期号:5页码:-
学科领域Physics
收录类别SCI
项目资助者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 ; NCET; NSF; National Program for Basic Research of China
引用统计
被引频次:85[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/311006/5335
专题理论物理所科研产出_SCI论文
通讯作者He, XG , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
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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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