| 一类广义五阶KdV方程新的精确解 |
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| 引用本文： | 姚敏,刘正荣.一类广义五阶KdV方程新的精确解[J].西南民族学院学报(自然科学版),2009,35(5):981-988. |
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| 作者姓名： | 姚敏 刘正荣 |
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| 作者单位： | 华南理工大学数学系,广州,510640 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文运用辅助方程法，借助Mathematica软件，获得了一类广义五阶KdV方程的19个精确解，其中有17个是新得到的，这些解包括光滑孤立波解，爆破解，周期爆破解．
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| 关 键 词： | 广义五阶KdV方程 辅助方程法 孤立波解 爆破解 周期爆破解 |
The new exact solutions of a type of generalized fifth-order KdV equation |
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| YAO Min,LIU Zheng rong.The new exact solutions of a type of generalized fifth-order KdV equation[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(5):981-988. |
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| Authors: | YAO Min LIU Zheng rong |
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| Institution: | (Department of Mathematics, South China University ＆Technology, Guangzhou 510640, P.R.C.) |
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| Abstract: | In this paper, with the help of the software Mathematica, many new exact solutions of generalized fifth-order KdV equation are obtained by using auxiliary equation method. New and more exact traveling wave solutions include solitary wave solutions, blow-up solutions, periodic blow-up solutions. |
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| Keywords: | generalized fifth-order KdV equation auxiliary equation method solitary wave solution blow-up solution periodic blow-up solution |
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