| 广义Boussinesq方程孤立波的轨道不稳定性 |
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| 引用本文： | 张卫国,秦英豪,李仪.广义Boussinesq方程孤立波的轨道不稳定性[J].上海理工大学学报,2009,31(2). |
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| 作者姓名： | 张卫国 秦英豪 李仪 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 基金项目： | 上海市重点学科建设项目，上海市教育委员会科研项目 |
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| 摘 要： | 应用Grillakis提出的轨道稳定性理论,研究了广义Boussinesq方程utt-uxx-(b1up+1+b2u2p+1)xx+uxxxx=0(b2<0)的精确孤波解的轨道不稳定性.利用抽象的轨道稳定性理论和详细的谱分析得到了一类特殊形式孤波解的轨道不稳定性.
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| 关 键 词： | 轨道稳定 孤立波 谱分析 |
Orbital instability of solitary waves of generalized Boussinesq equations |
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| ZHANG WEI-guo,QIN YING-hao,LI Yi.Orbital instability of solitary waves of generalized Boussinesq equations[J].Journal of University of Shanghai For Science and Technology,2009,31(2). |
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| Authors: | ZHANG WEI-guo QIN YING-hao LI Yi |
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| Institution: | College of Science;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | The abstract results of Grillakis were used directly and the orbital instability of solitary waves of Boussinesq equation utt-uxx-(b1up+1+b2 u2p+1)xx+uxxxx=0(b2<0) was examined.The orbital instability was described by using the abstract orbital stability theory and detailed spectral analysis. |
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| Keywords: | orbital stability solitary waves spectral analysis |
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