| 广义Camassa-Holm方程的奇异行波解 |
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| 引用本文： | 冀小明,单群,黄建华.广义Camassa-Holm方程的奇异行波解[J].福州大学学报(自然科学版),2009,37(5). |
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| 作者姓名： | 冀小明 单群 黄建华 |
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| 作者单位： | 西南民族大学预科教育学院;红河学院数学系;福州大学数学与计算机科学学院; |
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| 基金项目： | 福建省教育厅科研资助项目(JB05046); 福州大学发展基金资助项目(2006-XQ-21) |
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| 摘 要： | 针对Camassa-Holm方程的特点,通过扩展的F展开法构造了一个辅助方程,利用这个辅助方程的解,获得了Camassa-Holm方程的各种奇异行波解并用数学软件Maple绘出了这些奇异行波解的波形图.
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| 关 键 词： | 广义Camassa-Holm方程 奇异行波解 Maple |
Singular traveling wave solutions of a generalized Camassa-Holm equation |
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| JI Xiao-ming,SHAN Qun,HUANG Jian-hua.Singular traveling wave solutions of a generalized Camassa-Holm equation[J].Journal of Fuzhou University(Natural Science Edition),2009,37(5). |
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| Authors: | JI Xiao-ming SHAN Qun HUANG Jian-hua |
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| Institution: | JI Xiao-ming1,SHAN Qun2,HUANG Jian-hua3 (1.Preparatory Department,Southwest University of Nationalities,Chengdu,Sichuan 610041,China,2.Department of Mathematics,Honghe University,Mengzi,Yunnan 661100,3.College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China) |
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| Abstract: | According to the peculiarity of generalized Camassa-Holm equation is constructed by extended F-expansion method.Using solutions of this auxiliary equation,the different kinds of singular traveling wave solutions of this generalized Camassa-Holm equation are obtained.And using the mathematic software Maple,we draw the wave-form of graphs for these singular traveling wave solutions. |
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| Keywords: | generalized Camassa-Holm equation singular traveling wave solutions Maple |
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