| Duffing方程的首次积分法求解 |
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| 引用本文： | 孟品超,尹伟石.Duffing方程的首次积分法求解[J].吉林大学学报(理学版),2015,53(6):1186-1188. |
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| 作者姓名： | 孟品超 尹伟石 |
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| 作者单位： | 长春理工大学 理学院, 长春 130022 |
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| 摘 要： | 应用首次积分法, 提出一种求解非线性波动方程的分析方法, 并在理论上得到一类Duffing方程精确形式的行波解. 结果表明, 首次积分法对于求Duffing方程的精确解是一种可行方法.
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| 关 键 词： | 首次积分法 Duffing方程 符号计算 |
| 收稿时间： | 2015-05-11 |
Solutions for Duffing Equations by First Integral Method |
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| MENG Pinchao,YIN Weishi.Solutions for Duffing Equations by First Integral Method[J].Journal of Jilin University: Sci Ed,2015,53(6):1186-1188. |
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| Authors: | MENG Pinchao YIN Weishi |
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| Institution: | College of Science, Changchun University of Science and Technology, Changchun 130022, China |
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| Abstract: | We proposed an analytic method for solving a class of nonlinear wave equations based on the first integral method, and obtained the exact traveling wave solution for one category of Duffing equations theoretically. Results show that the first integral method for the exact solution of Duffing equations is a feasible method. |
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| Keywords: | first integral method Duffing equation symbolic computation |
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