| BBM型方程与BBM-Burgers型方程孤波解的条件稳定性 |
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| 引用本文： | 冯丽萍 张卫国 陶涛 滕晓燕. BBM型方程与BBM-Burgers型方程孤波解的条件稳定性[J]. 上海理工大学学报, 2004, 26(1): 1-6 |
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| 作者姓名： | 冯丽萍 张卫国 陶涛 滕晓燕 |
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| 作者单位： | 上海理工大学,理学院,上海,200093;上海理工大学,管理学院,上海,200093 |
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| 基金项目： | 上海市高等学校技术发展基金项目(2000H03) |
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| 摘 要： | 探讨了BBM型方程和BBM-Burgers型方程的精确孤波解在Liapunov意义下的稳定性，证明了以上两类方程的孤波解在初始微扰满足一定条件时具有条件稳定性。
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| 关 键 词： | BBM型方程 BBM-Burgers型方程 孤波解 条件稳定性 微小扰动 Liapunov指数 |
| 文章编号： | 1007-6735(2004)01-0001-06 |
| 修稿时间： | 2003-05-27 |
Conditional stability of the solitary wave solutions to BBM type equations and BBM-Burgers type equations |
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| FENG Li-ping,ZHANG Wei-guo,TAO Tao,TENG Xiao-yan. Conditional stability of the solitary wave solutions to BBM type equations and BBM-Burgers type equations[J]. Journal of University of Shanghai For Science and Technology, 2004, 26(1): 1-6 |
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| Authors: | FENG Li-ping ZHANG Wei-guo TAO Tao TENG Xiao-yan |
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| Affiliation: | FENG Li-ping1,ZHANG Wei-guo1,TAO Tao2,TENG Xiao-yan1 |
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| Abstract: | The stability of the explicit exact solitary wave solutions to BBM type equations and BBM-Burgers type equations in the sense of Liapunov is discussed, and it is proved that these two types of explicit exact solitary wave solutions are conditional stable when the initial infinitesimal disturbance is satisfied for certain special conditions. |
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| Keywords: | BBM type equations BBM-Burgers type equations solitary wave solutions conditional stability infinitesimal disturbance Liapunov index |
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