| 五次NLS方程全离散谱格式的大时间性态 |
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| 引用本文： | 顾绍泉,向新民. 五次NLS方程全离散谱格式的大时间性态[J]. 高等学校计算数学学报, 2005, 27(2): 97-107 |
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| 作者姓名： | 顾绍泉 向新民 |
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| 作者单位： | 上海师范大学数理信息学院,上海,200234;上海师范大学数理信息学院,上海,200234 |
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| 基金项目： | 国家自然科学基金;上海市高等学校科技发展基金 |
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| 摘 要： | Nonlinear Schroedinger equation arises in many physical problems. There are many works in which properties of the solution are studied. In this paper we use fully discrete Fourier spectral method to get an approximation solution of nonlinear weakly dissipative Schroedinger equation with quintic term. We give a large-time error estimate and obtain the existence of the approximate attractor A N^k.
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| 关 键 词： | 五次NLS方程 离散谱格式 近似吸引子 存在性 时间性态 一致有界算子 非线性 |
THE LONG TIME BEHAVIOR OF FULLY DISCRETE FOURIER SPECTRAL APPROXIMATION FOR NONLINEAR SCHR(O)DINGER EQUATION WITH QUINTIC TERM |
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| Gu Shaoquan,Xiang Xinmin. THE LONG TIME BEHAVIOR OF FULLY DISCRETE FOURIER SPECTRAL APPROXIMATION FOR NONLINEAR SCHR(O)DINGER EQUATION WITH QUINTIC TERM[J]. Numerical Mathematics A Journal of Chinese Universities, 2005, 27(2): 97-107 |
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| Authors: | Gu Shaoquan Xiang Xinmin |
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| Abstract: | Nonlinear Schrodinger equation arises in many physical problems. There are many works in which properties of the solution are studied. In this paper we use fully discrete Fourier spectral method to get an approximation solution of nonlinear weakly dissipative Schrodinger equation with quintic term. We give a large-time error estimate and obtain the existence of the approximate at-tractor ANk. |
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| Keywords: | Fourier spectral method large-time error estimate approximate at tractor NLS equation with quintic term. |
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