| 用叠加法求Burgers-KdV方程的精确解析解 |
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| 引用本文： | 刘辉,谢元喜.用叠加法求Burgers-KdV方程的精确解析解[J].四川师范大学学报(自然科学版),2005,28(2):185-187. |
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| 作者姓名： | 刘辉 谢元喜 |
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| 作者单位： | 湖南人文科技学院,物理与信息工程系,湖南,娄底,417000;湖南大学,工程力学系,湖南,长沙,410082 |
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| 摘 要： | 基于对Burgers方程、KdV方程和Burgers KdV方程特点的分析,提出了一种由Burgers方程的解和KdV方程的解构造Burgers KdV方程的解的叠加法,并用该法求得了Burgers KdV方程的解,所得结果与已有结果完全吻合.
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| 关 键 词： | Burgers-KdV方程 叠加法 精确解析解 |
| 文章编号： | 1001-8395(2005)02-0185-03 |
| 修稿时间： | 2004年11月5日 |
The Exact Analytical Solutions to the Burgers-KdV Equation by the Superposition Approach |
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| LIU Hui,XIE Yuan-xi.The Exact Analytical Solutions to the Burgers-KdV Equation by the Superposition Approach[J].Journal of Sichuan Normal University(Natural Science),2005,28(2):185-187. |
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| Authors: | LIU Hui XIE Yuan-xi |
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| Institution: | LIU Hui~1,XIE Yuan-xi~2 |
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| Abstract: | In this paper, based on the careful analysis of the features of the Burgers equation and the KdV equation as well as the Burgers-KdV equation, the superposition approach which is commonly believed to simplify work for linear partial differential equations is proposed to construct the solutions to the Burgers-KdV equation. Moreover, the exact analytical solutions to the Burgers-KdV equation are successfully derived by means of this method. The results obtained herein are in very good agreement with those given in the existing literature. |
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| Keywords: | Burgers-KdV equation Superposition approach Exact and analytical solution |
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