Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term
Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrodinger Equation with Trapped Term
复制标题
DOI：
10.4208/cicp.2009.09.057
复制
发表时间：
2009
影响因子：
3.7
通讯作者：
Jialin Hong;L. Kong
中科院分区：
文献类型：
--
作者：
Jialin Hong;L. Kong
采用多辛Runge-Kutta（MSRK）方法和多辛Fourier谱（MSFS）方法求解含陷波项的四阶Schrodinger方程。利用分步数值方法的思想和MSRK方法，我们构造了一类新的多辛积分算子，称之为分步多辛（SSMS）方法。数值实验表明，所提出的SSMS方法在数值精度和守恒性方面比传统的多辛积分方法更有效。AMS科目分类：65 P10、65 M06、65 M70
The multi-symplectic Runge-Kutta (MSRK) methods and multi-symplectic Fourier spectral (MSFS) methods will be employed to solve the fourth-order Schrodinger equations with trapped term. Using the idea of split-step numerical method and the MSRK methods, we devise a new kind of multi-symplectic integrators, which is called split-stepmulti-symplectic (SSMS)methods. The numerical experiments show that the proposed SSMSmethods aremore efficient than the conventional multi-symplectic integrators with respect to the the numerical accuracy and conservation perserving properties. AMS subject classifications: 65P10, 65M06, 65M70