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广义Camassa-Holm方程的精确解
Exact Solutions of the Generalized Camassa-Holm Equations
【摘要】 运用构造辅助微分方程的方法,获得了广义Camassa-Holm方程的精确解,此解包含了由椭圆函数表达的周期尖波解,推广了相关文献的结果.
【Abstract】 By constructing auxiliary differential equations,we obtain exact solutions of the generalized Camassa-Holm Equations,which include periodic cusp waves expressed by elliptic functions.We generalized the results in some documents.
【关键词】 广义Camassa-Holm方程;
辅助微分方程;
精确解;
周期尖波解;
【Key words】 generalized Camassa-Holm equation; auxiliary differential equation; exact solution; periodic cusp waves solution;
【Key words】 generalized Camassa-Holm equation; auxiliary differential equation; exact solution; periodic cusp waves solution;
【基金】 河北省教育厅自然科学研究计划项目(Z2005114)
- 【文献出处】 石家庄学院学报 ,Journal of Shijiazhuang University , 编辑部邮箱 ,2007年03期
- 【分类号】O175.29
- 【被引频次】1
- 【下载频次】98