LONG-TIME BEHAVIOR OF FINITE DIFFERENCE SOLUTIONS OF THREE-DIMENSIONAL NONLINEAR SCHRDINGER EQUATION WITH WEAKLY DAMPED |
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作者姓名: | Fa-yong Zhang Department of Mathematics Heilongjiang University Harbin 150080 China |
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作者单位: | Fa-yong Zhang Department of Mathematics,Heilongjiang University,Harbin 150080,China |
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基金项目: | The research was supported by the National Natural Science Foundation of China. |
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摘 要: | The three-dimensional nonlinear Schrdinger equation with weakly damped that pos-sesses a global attractor are considered.The dynamical properties of the discrete dynamicalsystem which generate by a class of finite difference scheme are analysed.The existence ofglobal attractor is proved for the discrete dynamical system.
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关 键 词: | Nonlinear Schrdinger equation Finite difference method Global attractor. |
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