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题名: Engineering integrable nonautonomous nonlinear Schrodinger equations
作者: He, Xu-Gang ;  Zhao, Dun ;  Li, Lin ;  Luo, Hong-Gang
刊名: PHYSICAL REVIEW E
出版日期: 2009
卷号: 79, 期号:5, 页码:-
关键词: PARTIAL-DIFFERENTIAL EQUATIONS ;  DISPERSION MANAGEMENT ;  EVOLUTION-EQUATIONS ;  VARYING DISPERSION ;  PAINLEVE PROPERTY ;  SOLITON-SOLUTIONS ;  OPTICAL-SOLITON ;  DYNAMICS ;  MODEL ;  WAVES
学科分类: Physics
通讯作者: He, XG , Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
部门归属: [He, XG; Zhao, D] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China; [He, XG] Univ Connecticut, Dept Phys, Storrs, CT 06269 USA; [Zhao, D; Luo, HG] Lanzhou Univ, Ctr Interdisciplinary Studies, Lanzhou 730000, Peoples R China; [Li, L] Lanzhou Univ, Dept Modern Phys, Lanzhou 73000, Peoples R China; [Luo, HG] Lanzhou Univ, Minist Educ, Key Lab Magnetism & Magnet Mat, Lanzhou 73000, Peoples R China; [Luo, HG] Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100080, Peoples R China
英文摘要: 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.
资助者: NCET; NSF; National Program for Basic Research of China
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000266500800077
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5335
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
He, Xu-Gang,Zhao, Dun,Li, Lin,et al. Engineering integrable nonautonomous nonlinear Schrodinger equations[J]. PHYSICAL REVIEW E,2009,79(5):-.
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