| 一类Boussinesq方程解的爆破和不稳定性 |
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| 引用本文： | 王颖,穆春来.一类Boussinesq方程解的爆破和不稳定性[J].数学学报,2008,51(4):699-710. |
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| 作者姓名： | 王颖 穆春来 |
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| 作者单位： | 电子科技大学应用数学学院,重庆大学数理学院 成都 610054,重庆 400044 |
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| 摘 要： | 研究了一类非线性Boussinesq方程解的爆破和基态解的不稳定性,还得到了问题带在不同域中的初值的整体有界解.
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| 关 键 词： | Boussinesq方程 孤立子波 爆破 |
| 收稿时间： | 2006-8-30 |
Instability and Blow-up of Solutions for a Nonlinear Boussinesq Equation |
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| Institution: | Ying WANG School of Applied Mathematics,University of Electronic Science and Technology of China,Chengdu 610054,P.R.China Chun Lai MU College of Mathematics and Physics,Chongqing University,Chongqing 400044,P.R.China |
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| Abstract: | We are concerned with the blow-up of solution and the instability of the ground state solution for a class of nonlinear Boussinesq equation.Furthermore,we obtain the global bounded solutions with initial data in different regions. |
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| Keywords: | Bonssinesq equation solitary-wave instability blow up |
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