摘要
对耦合Schrdinger方程组提出1个线性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,证明格式依L2模稳定性和先验误差估计,对孤波碰撞的多种现象进行模拟,得到较为满意的结果。
A linear difference scheme for a coupled Schr dinger 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 stable and convergent by second-order L2 in norm on basis of some priori estimates. Colli- sion of two solitary waves is simulated.
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第6期142-146,共5页
Periodical of Ocean University of China
基金
国家自然科学基金项目(11071228)资助
