Volume 22, Issue 4
Long-Time Behavior of Finite Difference Solutions of Three-Dimensional Nonlinear Schr?dinger Equation with Weakly Damped

Fa-yong Zhang

DOI:

J. Comp. Math., 22 (2004), pp. 593-604

Published online: 2004-08

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  • Abstract

The three-dimensional nonlinear Schr$\ddot{o}$dinger equation with weakly damped that pos-sesses a global attractor are considered. The dynamical properties of the discrete dynamical system which generate by a class of finite difference scheme are analysed. The existence of global attractor is proved for the discrete dynamical system.

  • Keywords

Nonlinear Schr$\ddot{o}$dinger equation Finite difference method Global attractor

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@Article{JCM-22-593, author = {}, title = {Long-Time Behavior of Finite Difference Solutions of Three-Dimensional Nonlinear Schr?dinger Equation with Weakly Damped}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {4}, pages = {593--604}, abstract = { The three-dimensional nonlinear Schr$\ddot{o}$dinger equation with weakly damped that pos-sesses a global attractor are considered. The dynamical properties of the discrete dynamical system which generate by a class of finite difference scheme are analysed. The existence of global attractor is proved for the discrete dynamical system. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10308.html} }
TY - JOUR T1 - Long-Time Behavior of Finite Difference Solutions of Three-Dimensional Nonlinear Schr?dinger Equation with Weakly Damped JO - Journal of Computational Mathematics VL - 4 SP - 593 EP - 604 PY - 2004 DA - 2004/08 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10308.html KW - Nonlinear Schr$\ddot{o}$dinger equation KW - Finite difference method KW - Global attractor AB - The three-dimensional nonlinear Schr$\ddot{o}$dinger equation with weakly damped that pos-sesses a global attractor are considered. The dynamical properties of the discrete dynamical system which generate by a class of finite difference scheme are analysed. The existence of global attractor is proved for the discrete dynamical system.
Fa-yong Zhang. (1970). Long-Time Behavior of Finite Difference Solutions of Three-Dimensional Nonlinear Schr?dinger Equation with Weakly Damped. Journal of Computational Mathematics. 22 (4). 593-604. doi:
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