| 变系数非线性Schrdinger方程的辛Runge-Kutta谱方法 |
| |
| 引用本文： | 柴卫平,张素英,余敏.变系数非线性Schrdinger方程的辛Runge-Kutta谱方法[J].山西大学学报(自然科学版),2010,33(1). |
| |
| 作者姓名： | 柴卫平 张素英 余敏 |
| |
| 作者单位： | 1. 山西大学理论物理研究所,山西太原,030006
2. 海军蚌埠士官学校基础部,安徽蚌埠,233012 |
| |
| 摘 要： | 用辛Runge-Kutta谱方法研究变系数非线性Schr(o)dinger方程.我们在空间方向用快速Fourier变换方法来离散二阶导数项,在时间方向用2级4阶隐式辛Runge-Kutta方法来离散一阶导数项,给出了变系数的非线性Schr(o)dinger方程的数值解法.数值结果显示该算法行之有效,它可以保持系统模方守恒和能量守恒的性质.
|
| 关 键 词： | 变系数非线性Schr(o)dinger方程 谱方法 快速Fourier变换(FFT) 辛算法 |
Symplectic Runge-Kutta Spectral Method for Nonlinear Schr(o)dinger Equations with Varying Coefficients |
| |
| CHAI Wei-ping,ZHANG Su-ying,YU Min.Symplectic Runge-Kutta Spectral Method for Nonlinear Schr(o)dinger Equations with Varying Coefficients[J].Journal of Shanxi University (Natural Science Edition),2010,33(1). |
| |
| Authors: | CHAI Wei-ping ZHANG Su-ying YU Min |
| |
| Institution: | CHAI Wei-ping1,ZHANG Su-ying1,YU Min2(1.Institute of Theoretical Physics,Shanxi University,Taiyuan 030006,China,2.Basic Courses Department,Bengbu Naval Petty Officer Academy,Bengbu 233012,China) |
| |
| Abstract: | We present a symplectic Runge-Kutta spectral method for nonlinear Schr(o)dinger equations with varying coefficients, and we develop the numerical method by using 2-stage 4-order implicit symplectic Runge-Kutta method in temporal direction and fast Fourier transform method in spatial direction. Numerical results show that the algorithm is very effective in that it can preserve the global energy and the norm well. |
| |
| Keywords: | nonlinear Schr(o)dinger equation with varying coefficient spectral method fast Fourier Transform symplecti algorithm |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
