| 广义Camassa-Holm方程的显示尖波解 |
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| 引用本文： | 田贵辰,宋宏伟,刘希强.广义Camassa-Holm方程的显示尖波解[J].大学数学,2008,24(6). |
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| 作者姓名： | 田贵辰 宋宏伟 刘希强 |
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| 作者单位： | 石家庄学院,数学系,河北,石家庄,050035;石家庄学院,计算机系,石家庄,050035;聊城大学,数学学院,山东,聊城,252059 |
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| 摘 要： | 通过构造辅助微分方程,求得了广义Camassa-Holm方程的尖波解,此解包含了由椭圆函数表达的周期尖波解,推广了有关文献的结果.
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| 关 键 词： | 广义Camassa-Holm方程 辅助微分方程 周期尖波解 |
Explicit Cusp Wave Solutions of the Generalized Camassa-Holm Equations |
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| TIAN Gui-chen,SONG Hong-wei,LIU Xi-qiang.Explicit Cusp Wave Solutions of the Generalized Camassa-Holm Equations[J].College Mathematics,2008,24(6). |
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| Authors: | TIAN Gui-chen SONG Hong-wei LIU Xi-qiang |
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| Abstract: | By constructing auxiliary differential equations,we obtain cusp wave solutions of the generalized Camassa-Holm Equations,which include periodic cusp waves expressed by elliptic functions.We generalized the results in related papers. |
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| Keywords: | the generalized Camassa-Holm equations auxiliary differential equation periodic cusp waves solution |
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