| 简单方程法求解非线性发展方程 |
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| 引用本文： | 方勤志,郭玉翠.简单方程法求解非线性发展方程[J].阜阳师范学院学报(自然科学版),2007,24(3):25-28. |
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| 作者姓名： | 方勤志 郭玉翠 |
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| 作者单位： | 北京邮电大学,理学院,北京,100876 |
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| 摘 要： | 利用已知精确解的简单方程求解高阶非线性发展方程,以SK方程为例,利用简单方程和Painleve截断展开法,求出该方程的多组行波解,包括孤立波解和类孤立波解,以及若干周期函数解,这种方法还可以用来求解其他高阶非线性发展方程.
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| 关 键 词： | SK方程 简单方程 Painleve分析 孤立波解 |
| 文章编号： | 1004-4329（2007）03-0025-04 |
| 收稿时间： | 2007-05-08 |
| 修稿时间： | 2007年5月8日 |
Simple Equation Method to look for Exact Solution of NEE |
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| FANG Qin-zhi,GUO Yu-cui.Simple Equation Method to look for Exact Solution of NEE[J].Journal of Fuyang Teachers College:Natural Science,2007,24(3):25-28. |
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| Authors: | FANG Qin-zhi GUO Yu-cui |
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| Institution: | Seminary of Science ,Beijing University of Posts and Telecommunications ,Beijing , 100876 |
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| Abstract: | Applying the simple equation whose exact solutions are already known,we research exact solutions of high-level nonlinear differential equations.For example SK equation,using simple equation and Painleve test,we get many solutions of SK equation,including soliton solutions and some periods solutions.The method can be used to the other nonlinear differential equations too. |
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| Keywords: | SK equation simple equation painleve test soliton solution |
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