| Three-Step Predictor-Corrector of Exponential Fitting Method for Nonlinear Schroedinger Equations |
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| 作者姓名： | TANG Chen ZHANG Fang YAN Hai-Qing CHEN Zhan-Qing LUO Tao |
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| 作者单位： | [1]Department of Applied Physics, University of Tianjin, Tianjin 300072, China [2]Department of Mechanical Engineering and Automation, Harbin Institute of Technology, Harbin, China |
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| 基金项目： | The project supported by Liu Hui Applied Mathematics Center of Nankai University and 985 Education Development Plan of Tianjin University |
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| 摘 要： |
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| 关 键 词： | Schroedinger非线性方程 变量系数 指数 孤波解 |
| 收稿时间： | 2004-11-17 |
| 修稿时间： | 2004-11-172005-01-28 |
Three-Step Predictor-Corrector of Exponential Fitting Method for Nonlinear Schroedinger Equations |
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| TANG Chen ZHANG Fang YAN Hai-Qing CHEN Zhan-Qing LUO Tao.Three-Step Predictor-Corrector of Exponential Fitting Method for Nonlinear Schroedinger Equations[J].Communications in Theoretical Physics,2005,44(3):435-439. |
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| Authors: | TANG;Chen;ZHANG;Fang;YAN;Hai-Qing;CHEN;Zhan-Qing;LUO;Tao |
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| Abstract: | We develop the three-step explicit and implicit schemes of exponential fitting methods. We use the three- step explicit exponential fitting scheme to predict an approximation, then use the three-step implicit exponential fitting scheme to correct this prediction. This combination is called the three-step predictor-corrector of exponential fitting method. The three-step predictor-corrector of exponential fitting method is applied to numerically compute the coupled nonlinear Schroedinger equation and the nonlinear Schroedinger equation with varying coefficients. The numerical results show that the scheme is highly accurate. |
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| Keywords: | coupled nonlinear Shroedinger equation nonlinear Schroedinger equation with varying coefficients exponential fitting method solitons |
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