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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. 相似文献
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带五次项的NLS方程及其谱逼近的整体吸引子的维数估计 总被引:1,自引:0,他引:1
通过给出一般发展方程和其近似方程解的整体吸引子的Hausdorff维数上界间的关系,继[1,2]的讨论,本文进一步得到了带五次项的NLS方程和半离散Fourier谱近似解的整体吸引子的Hausdorff维数的上界估计。 相似文献
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