| 非线性演化方程显式精确解的新算法 |
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| 引用本文： | 闫振亚,张鸿庆.非线性演化方程显式精确解的新算法[J].大学数学,2000(2). |
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| 作者姓名： | 闫振亚 张鸿庆 |
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| 作者单位： | 大连理工大学数学科学研究所!大连116024 |
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| 基金项目： | 国家自然科学基金，博士点基金资助课题 |
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| 摘 要： | 本文给出了一种求解非线性演化方程的新算法 .将这种算法运用于变形浅水波方程 ,获得了八组显式精确解 ,其中包括新的孤波解和周期解 .借助于 Mathematica软件 ,这种算法能够在 Computer上实现 .
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| 关 键 词： | 变形浅水波方程 精确解 孤波解 周期解 |
A New Method for Finding Explicit Exact Solutions of Nonlinear Evolution Equations |
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| YAN Zhenya,ZHANG Hongqing.A New Method for Finding Explicit Exact Solutions of Nonlinear Evolution Equations[J].College Mathematics,2000(2). |
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| Authors: | YAN Zhenya ZHANG Hongqing |
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| Abstract: | In this paper, a new method is presented to find the solutions of nonlinear evolution equations. By using this method, eight sets of explicit exact solutions are obtained for variant shallow water wave equations. These solutions contain new solitary wave solutions and periodic solutions. With the aid of Mathematica, the method be carried out in computer. |
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| Keywords: | variant shallow water wave equations exact solution solitary wave solution periodic solution |
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