| KdV方程的精确解析解 |
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| 引用本文： | 韩家骅,徐勇,陈良,刘艳美,赵宗彦.KdV方程的精确解析解[J].安徽大学学报(自然科学版),2002,26(3):44-50. |
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| 作者姓名： | 韩家骅 徐勇 陈良 刘艳美 赵宗彦 |
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| 作者单位： | 安徽大学,物理系,安徽,合肥,230039 |
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| 基金项目： | 安徽省教育厅自然科学基金;2000j1002; |
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| 摘 要： | 应用行波法,齐次平衡法和Jacobi椭圆函数展开法求解KdV方程,不仅获得了该方程的准确周期解及孤波解,而且给出了若干新的精确解析解.这些结果说明,本文所用的方法可以用来求解一大类非线性方程.
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| 关 键 词： | 非线性方程 周期解 孤波解 |
| 文章编号： | 1000-2162(2002)03-0044-07 |
Explicit exact solutions to KdV equation |
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| HAN Jia-hua,XU Yong,CHEN Liang,LIU Yan-mei,LI Ai-xia,ZHAO Zong-yan.Explicit exact solutions to KdV equation[J].Journal of Anhui University(Natural Sciences),2002,26(3):44-50. |
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| Authors: | HAN Jia-hua XU Yong CHEN Liang LIU Yan-mei LI Ai-xia ZHAO Zong-yan |
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| Abstract: | In this paper by using a traveling wave method, a homogeneous balance method and a Jacobi elliptic function expansion method , we obtain not only the exact periodic solutions and the solitary wave solutions for a KdV equation , but also several new exact solutions. The results show that the three methods in this paper afford us useful avenues that study nonlinear differential equations. |
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| Keywords: | nonlinear equation periodic solution solitary sol |
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