学术
国际标准刊号：ISSN 1001-9847
国内统一刊号：CN 42-1184
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．[著者文摘]
关 键 词:
文章出处:
《应用数学》-2007年20卷1期 -151-157页
Mathematica Applicata
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2007）01-0151-07
[参考文献]
The Asymptoics of Solutions for a Generalized Boussinesq Water System in Two-dimensional Space
CAI Hong-mei, LAI Shao-yong （Department of Mathematics, Sick uan Normal University, Chengdu 610066, China）
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.[著者文摘]
Key words:
Boussinesq equation; Long time asymptotics; Fourier transform; Exponential decay;Two-dimensional space
收稿日期: 2006-06-15
基金资助:
Supported by the Programme of Sichuan Province for excellently academic scholars （rst2005-390）
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