High Accuracy Split-Step Finite Difference Method for Schrdinger-KdV Equations  

作　　者：Feng Liao Lu-Ming Zhang 廖锋;张鲁明(School of Mathematics and Statistics, Changshu Institute of Technology;College of Science, Nanjing University of Aeronautics and Astronautics)

机构地区：[1]School of Mathematics and Statistics,Changshu Institute of Technology,Changshu 215500,China [2]College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China

出　　处：《Communications in Theoretical Physics》2018年第10期413-422,共10页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.11571181

摘　　要：In this article, two split-step finite difference methods for Schrodinger-KdV equations are formulated and investigated. The main features of our methods are based on:(i) The applications of split-step technique for Schrodingerlike equation in time.(ii) The utilizations of high-order finite difference method for KdV-like equation in spatial discretization.(iii) Our methods are of spectral-like accuracy in space and can be realized by fast Fourier transform efficiently. Numerical experiments are conducted to illustrate the efficiency and accuracy of our numerical methods.

关 键 词：split-step method SchrSdinger-KdV equations finite difference method fast Fourier transform 

分 类 号：O175[理学—数学]