| 广义组合KdV方程与广义组合KdV-Burgers方程孤波解的条件稳定性 |
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| 引用本文： | 张卫国,东春彦.广义组合KdV方程与广义组合KdV-Burgers方程孤波解的条件稳定性[J].上海理工大学学报(社会科学版),2006,28(4):307-316. |
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| 作者姓名： | 张卫国 东春彦 |
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| 作者单位： | 上海理工大学理学院 上海200093 |
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| 摘 要： | 讨论了广义组合KdV方程和广义组合KdV Burgers方程的孤波解,在Liapunov意义下的条件稳定性.证明了当行波形式的微小扰动满足一定条件时,这两类方程的精确孤波解具有线性稳定性.
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| 关 键 词： | 广义组合KdV方程 广义组合KdV-Burgers方程 孤波解 条件稳定性 Liapunov特征指数 |
Conditional stability of the solitary wave solutions for the generalized compound KdV equation and generalized compound KdV-Burgers equation |
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| ZHANG Wei-guo,DONG Chun-yan.Conditional stability of the solitary wave solutions for the generalized compound KdV equation and generalized compound KdV-Burgers equation[J].Journal of University of Shanghai For Science and Technilogy(Social Science),2006,28(4):307-316. |
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| Authors: | ZHANG Wei-guo DONG Chun-yan |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | The conditional stability of solitary wave solutions in Liapunov's index sense for the genera-lized compound KdV equation and generalized compound KdVBurgers equation is discussed.Linear stability of exact solitarywave solutions is proved for the two types of equations mentioned above,when the small disturbance in traveling wave form satisfies some conditions. |
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| Keywords: | generalized compound KdV equation generalized compound KdV-Burgers equation solitary wave solution conditional stability Liapunov index |
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