| 关于带导数非线性薛定谔方程组的拟周期解（英文） |
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| 引用本文： | 刘凌霞,吴健.关于带导数非线性薛定谔方程组的拟周期解（英文）[J].南京大学学报(自然科学版),2014,31(2):99-124. |
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| 作者姓名： | 刘凌霞 吴健 |
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| 作者单位： | 1. 潍坊学院数学与信息科学学院,山东,261061
2. 南京航空航天大学理学院,南京,211106 |
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| 基金项目： | China，(2011ZRA07006).This work is also partially supported by Jiangsu Planned Projects for Postdoctoral Research Funds，China Postdoctoral Science Foundation funded project，the National Natural Science Foundation of China |
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| 摘 要： | 本文中,我们考虑周期边界条件下的一维非线性薛定谔方程组iu_t-u_(xx)-i(M_ξu+|v|~2u)_x=0,iv_t-v_(xx)-i(M_ηv+|u|~2v)_x=0证明了该方程组在一族小振幅,实解析,2个频率的拟周期解
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| 关 键 词： | 拟线性哈密顿偏微分方程 KAM定理 拟周期解 Borkhoff正规型 |
QUASI-PERIODIC SOLUTIONS FOR THE DERIVATIVE NONLINEAR SCHR(O)DINGER EQUATION SYSTEMS |
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| Liu Lingxia,Wu Jian.QUASI-PERIODIC SOLUTIONS FOR THE DERIVATIVE NONLINEAR SCHR(O)DINGER EQUATION SYSTEMS[J].Journal of Nanjing University: Nat Sci Ed,2014,31(2):99-124. |
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| Authors: | Liu Lingxia Wu Jian |
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| Institution: | Liu Lingxia;Wu Jian;Department of Mathematics,Weifang University;College of Science,Nanjing University of Aeronautics and Astronautics; |
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| Abstract: | |
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| Keywords: | Quasi-linear Hamiltonian PDEs KAM theory Quasi-periodic solutions Birkhoff normal form |
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