| 应用指数函数法求解广义Camassa-Holm方程 |
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| 引用本文： | 许镇辉,鲜大权. 应用指数函数法求解广义Camassa-Holm方程[J]. 四川大学学报(自然科学版), 2009, 46(6): 1600-1604. DOI: 10.3969/j.issn.0490-6756.2009.06.006 |
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| 作者姓名： | 许镇辉 鲜大权 |
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| 作者单位： | 1. 西南科技大学应用技术学院,绵阳,621000
2. 西南科技大学理学院,绵阳,621010 |
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| 摘 要： | 本文针对广义Camassa-Holm方程，借助于指数函数法和Maple计算工具得到了许多新的、更一般的精确孤立波解，这些解包括kink-wave解和周期孤立波解。文章推广了已有的相关结果。
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| 关 键 词： | 广义Camassa-Holm方程；指数函数法；孤立波解 |
| 收稿时间： | 2009-02-23 |
| 修稿时间： | 2009-03-27 |
Application of Exp-function Method to Generalized Camassa-Holm Equation |
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| XU Zhen-Hui and XIAN Da-Quan. Application of Exp-function Method to Generalized Camassa-Holm Equation[J]. Journal of Sichuan University (Natural Science Edition), 2009, 46(6): 1600-1604. DOI: 10.3969/j.issn.0490-6756.2009.06.006 |
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| Authors: | XU Zhen-Hui and XIAN Da-Quan |
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| Affiliation: | Applied Technology College, Southwest University of Science and Technology;School of Science, Southwest University of Science and Technology |
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| Abstract: | In this paper, by applying the Exp-function method with the aid of Maple computation to the Generalized Camassa-Holm equation, we obtain many new and more general exact solitary wave solutions which include kink-wave solution and periodic solitary wave solutions. We generalized the results relative to the problem. |
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| Keywords: | the Generalized Camassa-Holme quation Exp-function Method solitary solution |
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