| 广义修正Boussinesq方程孤波解的条件稳定性 |
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| 引用本文： | 东春彦.广义修正Boussinesq方程孤波解的条件稳定性[J].青岛大学学报(自然科学版),2008,21(3):22-25. |
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| 作者姓名： | 东春彦 |
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| 作者单位： | 青岛大学,数学科学学院,,青岛,266071 |
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| 摘 要： | 讨论了修正Boussinesq方程的钟状孤波解在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,上述方程的孤波解具有线性稳定性.
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| 关 键 词： | 广义修正Boussinesq方程 孤波解 条件稳定性 Liapunov特征指数 |
Conditional Stability of the Solitary Solutions to the Generalized Compound Boussinesq Equation |
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| DONG Chun yan.Conditional Stability of the Solitary Solutions to the Generalized Compound Boussinesq Equation[J].Journal of Qingdao University(Natural Science Edition),2008,21(3):22-25. |
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| Authors: | DONG Chun yan |
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| Institution: | DONG Chun-yan (College of Mathematics, Qingdao University, Qingdao 266071, China) |
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| Abstract: | The conditional stability of the explicit exact solitary wave solutions to the generalized compound Boussinesq equations in the sense of Liapunov is discussed, and it is proved that the type of explicit exact solitary wave solutions is conditional stable when the initial infinitesimal disturbance satisfies some special conditions. |
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| Keywords: | generalized compound Boussinesq equations solitary wave solutions conditional stability Liapunov index |
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