High Accuracy Split-Step Finite Difference Method for Schrödinger-KdV Equations |
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| Authors: | Feng Liao Lu-Ming Zhang |
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| Institution: | 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 |
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| Abstract: | In this article, two split-step finite difference methods for Schrödinger-KdV equations are formulated and investigated. The main features of our methods are based on:(i) The applications of split-step technique for Schrödingerlike 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. |
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| Keywords: | split-step method Schrödinger-KdV equations finite difference method fast Fourier transform |
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