| 用一类辅助方程求五阶KdV方程的精确孤波解 |
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| 引用本文： | 刘力华,朝鲁.用一类辅助方程求五阶KdV方程的精确孤波解[J].内蒙古工业大学学报,2006,25(3):161-167. |
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| 作者姓名： | 刘力华 朝鲁 |
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| 作者单位： | 内蒙古工业大学理学院数学系 呼和浩特010051 |
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| 基金项目： | 国家自然科学基金;内蒙古"111工程"基金;内蒙古教育厅科研基金 |
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| 摘 要： | 本文给出了寻找适当的辅助方程的一种较一般化的方法,通过这种方法可以得到一系列的辅助方程,利用这些辅助方程又可以构造出非线性发展方程的许多精确孤波解.作为应用,本文给出了K dV方程守恒形式〔1〕,即五阶K dV方程的求解过程,并得到了此方程的六十八个孤波解.
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| 关 键 词： | 辅助方程 符号计算 非线性发展方程 孤波解 |
| 文章编号： | 1001-5167（2006）03-0161-07 |
| 收稿时间： | 2005-09-27 |
| 修稿时间： | 2005年9月27日 |
THE SOLITARY WAVE SOLUTION FOR THE FIFTH KdV EQUATION BY A KIND OF AUXILIARY EQUATION |
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| LIU Li-hua,CHAO Lu.THE SOLITARY WAVE SOLUTION FOR THE FIFTH KdV EQUATION BY A KIND OF AUXILIARY EQUATION[J].Journal of Inner Mongolia Polytechnic University(Social Sciences Edition),2006,25(3):161-167. |
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| Authors: | LIU Li-hua CHAO Lu |
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| Institution: | School of Science, Inner Mongolia University of Technology, Hohhot 010051,China |
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| Abstract: | In this paper,with a view to getting exact solution for nonlinear evolution equations(NLEES),a method for finding a kind of general auxiliary equation is devised.A series of auxiliary equations for such use are found.And,many exact solutions of the NLEES are worked out with the help of these auxiliary equations.In illustration of the use of the method,it is applied to the solution of a fifth order KdV equation.Sixty eight exact solutions are obtained successfully. |
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| Keywords: | auxiliary equation symbolic computation nonlinear evolution equations solitary wave solutions |
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