| 基于吴方法的孤波自动求解软件包及其应用 |
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| 引用本文： | 柳银萍,李志斌.基于吴方法的孤波自动求解软件包及其应用[J].系统科学与数学,2004,24(1):118-124. |
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| 作者姓名： | 柳银萍 李志斌 |
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| 作者单位： | 华东师范大学计算机科学技术系,上海,200062 |
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| 基金项目： | 国家重点基础研究发展规划(G1998030600)，上海市曙光计划资助课题 |
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| 摘 要： | 基于非线性代数方程组的吴特征列方法,在计算机代数系统Maple上实现了非线性微分方程孤波解的自动求解,编制了一个小型实用的软件包。作为应用,考虑了一个一般的五阶模型方程,利用该软件包获得了此方程新的孤波解以及孤子解存在的条件。
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| 关 键 词： | 符号计算 自动推理 非线性微分方程 孤波和孤子 |
| 修稿时间： | 2001年6月21日 |
BASED ON WU'S ELIMINATION METHOD A MAPLE PACKAGE FOR FINDING EXACT SOLITARY WAVE SOLUTIONS AND ITS APPLICATION |
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| Yin Ping LIU,Zhi Bin LI.BASED ON WU''''S ELIMINATION METHOD A MAPLE PACKAGE FOR FINDING EXACT SOLITARY WAVE SOLUTIONS AND ITS APPLICATION[J].Journal of Systems Science and Mathematical Sciences,2004,24(1):118-124. |
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| Authors: | Yin Ping LIU Zhi Bin LI |
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| Institution: | Department of Computer Science, East China Normal University, Shanghai 200062 |
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| Abstract: | On the basis of Wu's elimination method for solving nonlinear algebraic equations, a Maple package for finding exact solitary wave solutions to nonlinear evolution equations is developed, and we consider a fifth-order model equation as it's application, taking advantage of our package some new solitary wave solutions as well as the corresponding parameters constraints were found. |
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| Keywords: | Symbolic computation automated reasoning nonlinear differential equation solitary wave and soliton |
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