| 浅水长波近似方程的显式精确解 |
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| 引用本文： | 闫振亚. 浅水长波近似方程的显式精确解[J]. 烟台大学学报(自然科学与工程版), 2000, 13(1): 8-12,17 |
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| 作者姓名： | 闫振亚 |
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| 作者单位： | 大连理工大学,数学科学研究所,辽宁,大连,116024 |
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| 基金项目： | 国家教育部博士点基金!资助项目（98014119） |
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| 摘 要： | 借助于符号计算软件Ｍａｔｈｅｍａｔｉｃａ和消元法，本文给出了一种求非线性发展方程精确解的途径，将此方法应用于浅水长波近似方程，获得了该方程的若干精确解，其中包括弧波解和周期波解。
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| 关 键 词： | 精确解 浅水长波方程 非线性发展方程 吴消元法 |
Explicit Exact Solutions for Approximate Equations for Long Water in Shallow Water |
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| YAN Zhen-ya. Explicit Exact Solutions for Approximate Equations for Long Water in Shallow Water[J]. Journal of Yantai University(Natural Science and Engineering edirion), 2000, 13(1): 8-12,17 |
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| Authors: | YAN Zhen-ya |
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| Abstract: | With the aid of mathematica and Wu?eliminition method, an approach is presented to find exact solutions for the nonlinear evolution equations, and this method is applied to the approximate equations for long waves in Shallow water. Many solutions are obtained, which contain solitay wave soltions and period wave solutions. |
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| Keywords: | approximate equations for long waves in shallow water exact solution solitary wave solution period wave solution |
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