Implicit integration factor method for the nonlinear Dirac equation

作     者：Jing-Jing Zhang Xiang-Gui Li Jing-Fang Shao 

作者机构：School of Applied ScienceBeijing Information Science and Technology UniversityBeijing 100192P.R.China 

出 版 物：《International Journal of Modeling, Simulation, and Scientific Computing》 (建模、仿真和科学计算国际期刊（英文）)

年 卷 期：2018年第9卷第2期

页      面：172-185页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of China(No.11671044) the Science Challenge Project(No.TZ2016001) the Beijing Municipal Education Commission(No.PXM2017014224000020) 

主　　题：Nonlinear Dirac equation conservation implicit integration factor method interaction dynamics. 

摘      要：A high-order accuracy time discretization method is developed in this paper to solve the one-dimensional nonlinear Dirac(NLD)*** on the implicit integration factor(IIF)method,two schemes are *** differences are applied to the spatial *** semi-discrete scheme keeps the conservation of the charge and *** the temporal discretization,second-order IIF method and fourth-order IIF method are applied respectively to the nonlinear system arising from the spatial *** experiments are given to validate the accuracy of these schemes and to discuss the interaction dynamics of the NLD solitary waves.