High Accuracy Split-Step Finite Difference Method for Schr(o)dinger-KdV Equations

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2018,（10）
• 页码范围: 413-422
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/0253-6102/70/4/413

摘要

In this article,two split-step finite difference methods for Schr(o)dinger-KdV equations are formulated and investigated.The main features of our methods are based on:(i) The applications of split-step technique for Schr(o)dingerlike 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.