| 幂级数形变映射法求5阶KdV方程的精确解 |
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| 引用本文： | 翁建平.幂级数形变映射法求5阶KdV方程的精确解[J].云南师范大学学报(自然科学版),2004,24(1):44-48. |
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| 作者姓名： | 翁建平 |
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| 作者单位： | 丽水师范专科学校物理系,浙江,丽水,323000 |
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| 摘 要： | 文章寻找复杂非线性5阶KdV方程的行波解和简单非线性KdV方程的行波解之间的形变关系。复杂非线性5阶KdV方程的行波解和相对应的简单线性方程的行波解之间类似的关系也得到了讨论。计算结果表明,幂级数形变映射法十分有效,它形成了非线性复杂方程的求解新途径。
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| 关 键 词： | 非线性方程 形变影射法 行波解 |
| 文章编号： | 1007-9793(2004)01-0044-05 |
| 修稿时间： | 2003年3月24日 |
Some exact travelling wave solutioons of the generalized fifth order KdV equation by the exponential series deforming method |
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| WENG Jian-ping.Some exact travelling wave solutioons of the generalized fifth order KdV equation by the exponential series deforming method[J].Journal of Yunnan Normal University (Natural Sciences Edition),2004,24(1):44-48. |
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| Authors: | WENG Jian-ping |
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| Abstract: | This paper seeks the fractionary deforming relations between the travelling wave solutions of the complex nonlinear generalized fifth order KdV equation and the travelling wave solutions of the simple nonlinear KdV equation. The analogic relation between the travelling wave solutions of the complicated nonlinear generalized fifth order KdV equatin and the travelling wave solutions of the correspondent simple linear equation is also discued. The results calculated indicates that the fractionary deforming method is a new effectual method for solveing the complex nonlinear equation. |
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| Keywords: | nonlinear equation deforming method travelling solution |
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