摘要
对耦合Schrdinger方程组提出一个非耦合的线性化差分格式并对其进行分析.证明格式保持原方程组的守恒律,在先验估计的基础上证明格式依L2模的绝对稳定性和无条件二阶收敛性.对孤波碰撞的各种现象进行模拟.
A linear difference scheme which is not coupled for a coupled nonlinear Schrodinger system is proposed. It is shown that the scheme reserves conservation of the original system. It is demonstrated with a discrete energy method that the scheme is unconditionally stable and convergent by second-order L2 in norm on basis of some priori estimates. Collision of two solitary waves is simulated.
出处
《计算物理》
CSCD
北大核心
2008年第2期179-185,共7页
Chinese Journal of Computational Physics