| 一类Duffing方程的新显式精确解 |
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| 引用本文： | 刘刚,张卫国,杨桂考. 一类Duffing方程的新显式精确解[J]. 上海理工大学学报, 2010, 32(4) |
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| 作者姓名： | 刘刚 张卫国 杨桂考 |
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| 作者单位： | 1. 徐州空军学院,基础部,江苏,221005
2. 上海理工大学,理学院,上海,200093 |
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| 摘 要： | 利用假设待定法和Maple计算软件,求出了广义Duffing方程的Jacobi椭圆函数分式形式精确周期波解,进而得到在特殊物理意义下Duffing方程的周期波解,并分析了解的性状,作出了解的波形图.
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| 关 键 词： | 软弹簧型Duffing方程 精确周期波解 Jacobi椭圆函数 |
New explicit and exact solution of a class of Duffing equations |
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| LIU Gang,ZHANG Wei-guo,YANG Gui-kao. New explicit and exact solution of a class of Duffing equations[J]. Journal of University of Shanghai For Science and Technology, 2010, 32(4) |
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| Authors: | LIU Gang ZHANG Wei-guo YANG Gui-kao |
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| Affiliation: | LIU Gang1,ZHANG Wei-guo2,YANG Gui-kao1 (1.Basic Department of Xuzhou Air Force College,Xuzhou,Jiangsu 221005,China,2.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China) |
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| Abstract: | Exact periodic wave solutions with the frational form of Jacobi elliptic function of generalized Duffing equations were presented and the periodic solutions of Duffing equations in the context of special physical meanings were achiered.Their characters were analysed.Furthermore,their wave graphics were visualized. |
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| Keywords: | Duffing equation exact periodic solution Jacobi elliptic function |
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