New Numerical Methods for the Coupled Nonlinear Schrdinger Equations  

作　　者：Qiu-bin Xu Qian-shun Chang 

机构地区：[1]Department of Applied Mathematics, Nanjing Audit University, Nanjing 211815, China [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China

出　　处：《Acta Mathematicae Applicatae Sinica》2010年第2期205-218,共14页应用数学学报（英文版）

摘　　要：In this paper, three numerical schemes with high accuracy for the coupled Schrodinger equations are studied. The conserwtive properties of the schemes are obtained and the plane wave solution is analysised. The split step Runge-Kutta scheme is conditionally stable by linearized analyzed. The split step compact scheme and the split step spectral method are unconditionally stable. The trunction error of the schemes are discussed. The fusion of two solitions colliding with different β is shown in the figures. The numerical experments demonstrate that our algorithms are effective and reliable.In this paper, three numerical schemes with high accuracy for the coupled Schrodinger equations are studied. The conserwtive properties of the schemes are obtained and the plane wave solution is analysised. The split step Runge-Kutta scheme is conditionally stable by linearized analyzed. The split step compact scheme and the split step spectral method are unconditionally stable. The trunction error of the schemes are discussed. The fusion of two solitions colliding with different β is shown in the figures. The numerical experments demonstrate that our algorithms are effective and reliable.

关 键 词：Coupled nonlinear Schrodinger equation（CNLS） split step Runge-Kutta method compact scheme split step spectral method difference scheme 

分 类 号：O241.81[理学—计算数学] TN929.11[理学—数学]