Dynamic properties of the cubic nonlinear Schr(o)dinger equation by symplectic method

• 来源期刊: 中国物理（英文版）
• 关键词: dynamic property conserved quantity symplectic method
• 年，卷（期）: 2005,（2）
• 页码范围: 231-237
• 页数: 7页
• 语种: 英文

摘要

The dynamic properties of a cubic nonlinear Schrodinger equation are investigated numerically by using the symplectic method with different space approximations. The behaviours of the cubic nonlinear Schrodinger equation are discussed with different cubic nonlinear parameters in the harmonically modulated initial condition. We show that the conserved quantities will be preserved for long-time computation but the system will exhibit different dynamic behaviours in space difference approximation for the strong cubic nonlinearity.