| KdV方程的显式精确解 |
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| 引用本文： | 关伟,张鸿庆.KdV方程的显式精确解[J].兰州理工大学学报,2000,26(4):96-99. |
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| 作者姓名： | 关伟 张鸿庆 |
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| 作者单位： | 大连理工大学,辽宁,大连,116024 |
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| 基金项目： | 国家自然科学基金，国家重点基础研究发展规划项目!(G19980 30 6 0 0 ) |
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| 摘 要： | 将非线性方程的解表示成修正的三角函数的有限级数 ,从而将非线性方程的求解问题转化为代数方程求解问题 ,借助 Mathematica软件 ,采用修正的三角函数法和吴文俊消元法 ,得到了 Kd V方程的多组显式精确解 .
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| 关 键 词： | KdV方程 显式精确解 修正的三角函数法 吴消元法 |
| 修稿时间： | 2000-05-23 |
Exact and explicit solutions to KdV equation |
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| GUAN Wei,ZHANG Hong-qing.Exact and explicit solutions to KdV equation[J].Journal of Lanzhou University of Technology,2000,26(4):96-99. |
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| Authors: | GUAN Wei ZHANG Hong-qing |
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| Abstract: | The solution to a nonlinear equation is expressed in the form of limited series of amended trigonometric function and the solution of nonlinear equation is transformed into the solution of a system of algebraic equations. So, with the help of Mathmetica and using the amended trigonometric function method as well as Wu elimination method, a group of exact and explicit solutions to KdV equation is obtained. |
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| Keywords: | KdV equation exact and explicit solution amended trigonometric function method Wu elimination method |
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