【摘要】 采用辛算法数值求解一维立方非线性Schrdinger方程,研究了随着非线性参数的变化立方非线性Schrdinger方程的动力学性质和解的模式的漂移.数值结果表明,随着非线性参数的增加解模式的漂移速度越来越快.更多还原

【Abstract】 The dynamic properties of one-dimensional cubic nonlinear Schrdinger equation and drifting of the solution pattern are investigated numerically by using the symplectic method with different nonlinear parameters in the perturbation initial condition. The numerical simulation illustrates that the system shows different dynamic behaviors with varying nonlinear parameters, but the motion in the phase space is regularly recurrent. The results show that the drifting velocity for the small nonlinear parameter is small. With the nonlinear parameter increasing, drifting velocity of the solution pattern becomes faster at the same time of evolution.更多还原