| Camassa-Holm方程的等价变换 |
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| 引用本文： | 邱燕红,田宝单.Camassa-Holm方程的等价变换[J].量子电子学报,2009,26(6):654-657. |
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| 作者姓名： | 邱燕红 田宝单 |
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| 作者单位： | 西南科技大学理学院,四川,绵阳,621010 |
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| 基金项目： | 四川省教育厅科研基金项目 |
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| 摘 要： | 利用改进的直接方法得到了一类Camassa-Holm方程的等价变换和对称群定理，建立了方程新解与旧解之间的关系，最后在已有的一些精确解的基础上利用对称群定理得到了Camassa-Holm方程的许多新的显式精确解。
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| 关 键 词： | 数学物理 等价变换 直接方法 Camassa-Holm方程 精确解 |
| 收稿时间： | 2008/11/5 |
Equivalence transformation for the Camassa-Holm equation |
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| QIU Yan-hong,TIAN Bao-dan.Equivalence transformation for the Camassa-Holm equation[J].Chinese Journal of Quantum Electronics,2009,26(6):654-657. |
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| Authors: | QIU Yan-hong TIAN Bao-dan |
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| Affiliation: | School of science, Southwest University of Science and Technology, Mianyang 621010,China |
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| Abstract: | A simple improved direct method is presented to find equivalence transforma- tion for a class of Camassa-Holm equation. Applying this equivalence transformation, the theorem of symmetry group for the Camassa-Holm equation is obtained, which describes the relationship between the new solutions and the old ones. Finally, some new exact and explicit solutions of the Camassa-Holm equation are obtained by the present references. |
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| Keywords: | nonlinear equation equivalence transformation direct method Camassa-Holm equation explicit solutions |
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