中国物理B ›› 2005, Vol. 14 ›› Issue (2): 231-237.doi: 10.1088/1009-1963/14/2/002
刘学深, 魏佳羽, 丁培柱
Liu Xue-Shen (刘学深), Wei Jia-Yu (魏佳羽), Ding Pei-Zhu (丁培柱)
摘要: The dynamic properties of a cubic nonlinear Schr?dinger equation are investigated numerically by using the symplectic method with different space approximations. The behaviours of the cubic nonlinear Schr?dinger 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.
中图分类号: (Solutions of wave equations: bound states)