| 用形变映射法求复杂非线性方程的行波精确解 |
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| 引用本文： | 翁建平.用形变映射法求复杂非线性方程的行波精确解[J].山西大学学报(自然科学版),2005,28(3):266-268. |
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| 作者姓名： | 翁建平 |
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| 作者单位： | 浙江丽水学院,物理系,浙江,丽水,323000 |
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| 摘 要： | 非线性偏微分方程极少有通解已被给出，Burgers方程是罕见的例外．将它的行波通解作为种子，用形变映射的方法，给出一类复杂非线性偏微分方程的许多行波解.
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| 关 键 词： | 形变映射法 偏微分方程 行波解 |
| 文章编号： | 0253-2395(2005)03-0266-03 |
| 收稿时间： | 2004-06-03 |
| 修稿时间： | 2004年6月3日 |
Some Exact Traveling Wave Solutions for a Complicated Nonlinear Equation by the Mapping and Deformation Method |
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| WENG Jianping.Some Exact Traveling Wave Solutions for a Complicated Nonlinear Equation by the Mapping and Deformation Method[J].Journal of Shanxi University (Natural Science Edition),2005,28(3):266-268. |
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| Authors: | WENG Jianping |
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| Abstract: | The exact general solutions of nonlinear partial differential equations were seldom known except the extreme rare ones such as the Burgers equation. Many exact traveling wave solutions of a type of complicated nonlinear equaions can be solved with the aid of the mapping and deformation method by using the exact traveling wave solutions of the Burgers equation as a seed solution. |
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| Keywords: | the mapping and deformation method nonlinear equation the traveling wave solution |
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