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广义Camassa-Holm方程的奇异行波解
Singular traveling wave solutions of a generalized Camassa-Holm equation
【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.
【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.
【关键词】 广义Camassa-Holm方程;
奇异行波解;
Maple;
【Key words】 generalized Camassa-Holm equation; singular traveling wave solutions; Maple;
【Key words】 generalized Camassa-Holm equation; singular traveling wave solutions; Maple;
【基金】 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)
- 【文献出处】 福州大学学报(自然科学版) ,Journal of Fuzhou University(Natural Science Edition) , 编辑部邮箱 ,2009年05期
- 【分类号】O175.29
- 【下载频次】62