| 用（1/G）-展开法求KdV方程的精确解和孤立波解 |
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| 引用本文： | 苗宝军.用（1/G）-展开法求KdV方程的精确解和孤立波解[J].科学技术与工程,2010,10(13). |
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| 作者姓名： | 苗宝军 |
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| 作者单位： | 许昌学院,数学科学学院,许昌,461000 |
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| 基金项目： | 河南省教育厅自然科学基金(2009A110016、2010A110019)资助 |
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| 摘 要： | 借助于Maple数学软件和齐次平衡原则,应用提出的(1/G)-展开法,获得了一类KdV方程的精确解和孤立波解。从求KdV方程解的过程看,提出的展开法更简单,易操作,是求非线性发展方程孤立波解的适当选择。
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| 关 键 词： | 孤立波解 KdV方程 精确解 齐次平衡原则 |
| 收稿时间： | 2/8/2010 9:17:12 AM |
| 修稿时间： | 3/2/2010 11:13:25 AM |
Seeking for Exact Solutions and Solitary Wave Solutions for KdV Equation with (1/G)-Expansion Method |
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| Miao Bao-jun.Seeking for Exact Solutions and Solitary Wave Solutions for KdV Equation with (1/G)-Expansion Method[J].Science Technology and Engineering,2010,10(13). |
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| Authors: | Miao Bao-jun |
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| Institution: | School of Mathematical Sciences/a>;Xuchang University/a>;Xuchang 461000/a>;P.R.China |
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| Abstract: | With the Maple mathematics software and the homogeneous balance principle,by using the (1/G)-expansion method is proposed,the exact solution and solitary wave solution a kind of KdV equation is obtained.From the investigating process of solution for the KdV equation,the expansion method proposed is simpler,easy to operate,is the suitable choice seeking for solitary wave solution of the non-linear development equation. |
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| Keywords: | solitary wave solution KdV equation exact solution homogeneous balance principle |
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