TY - JOUR
T1 - Long-Time Behavior of Finite Difference Solutions of Three-Dimensional Nonlinear Schrödinger Equation with Weakly Damped
AU - Zhang , Fayong
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 Schrödinger equation, Finite difference method, Global attractor.
AB - <p style="text-align: justify;">The three-dimensional nonlinear Schrödinger equation with weakly damped that possesses a global attractor is 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.&nbsp;&nbsp;</p>