| 一类二维空间中广义Boussinesq水波系统解的渐近性 |
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| 引用本文： | 蔡红梅,赖绍永.一类二维空间中广义Boussinesq水波系统解的渐近性[J].应用数学,2007,20(1):151-157. |
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| 作者姓名： | 蔡红梅 赖绍永 |
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| 作者单位： | 四川师范大学数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | Supported by the Programme of Sichuan Province for excellently academic scholars （rst2005-390） |
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| 摘 要： | 在二维空间中，讨论了一类Boussinesq水波系统并用初值中出现的小参数的级数形式表示了此系统的确切解，得到了此解的长时间渐近行为按指数衰减．
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| 关 键 词： | Boussinesq方程 长时间渐近性 Fourier变换 指数衰减 二维空间 |
| 文章编号： | 1001-9847(2007)01-0151-07 |
| 修稿时间： | 2006-06-15 |
The Asymptoics of Solutions for a Generalized Boussinesq Water System in Two-dimensional Space |
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| CAI Hong-mei,LAI Shao-yong.The Asymptoics of Solutions for a Generalized Boussinesq Water System in Two-dimensional Space[J].Mathematica Applicata,2007,20(1):151-157. |
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| Authors: | CAI Hong-mei LAI Shao-yong |
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| Institution: | Department of Mathematics, Sick uan Normal University, Chengdu 610066, China |
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| Abstract: | For a generalized Boussinesq water system in two-dimensional space,its exact solution is constructed in the form of a series in a small parameter provided in the initial conditions. The long-time asymptotics of the solution is obtained to decay exponentially in time. |
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| Keywords: | Boussinesq equation Long time asymptotics Fourier transform Exponential decay Two-dimensional space |
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