LONG-TIME BEHAVIOR OF FINITE DIFFERENCE SOLUTIONS OF THREE-DIMENSIONAL NONLINEAR SCHR(O)DINGER EQUATION WITH WEAKLY DAMPED

• 来源期刊: 计算数学(英文版)
• 关键词: Nonlinear Schr(o)dinger equation Finite difference method Global attractor.
• 年，卷（期）: 2004,（4）
• 页码范围: 593-604
• 页数: 12页
• 语种: 英文

摘要

The three-dimensional nonlinear Schrodinger equation with weakly damped that possesses 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.