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一类二维空间中广义Boussinesq水波系统解的渐近性

蔡红梅 赖绍永

应用数学2007,Vol.20Issue(1):151-157,7.
应用数学2007,Vol.20Issue(1):151-157,7.

一类二维空间中广义Boussinesq水波系统解的渐近性

The Asymptoics of Solutions for a Generalized Boussinesq Water System in Two-dimensional Space

蔡红梅 1赖绍永1

作者信息

  • 1. 四川师范大学数学与软件科学学院,四川,成都,610066
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摘要

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.

关键词

Boussinesq方程/长时间渐近性/Fourier变换/指数衰减/二维空间

Key words

Boussinesq equation/Long time asymptotics/Fourier transform/Exponential decay/Two-dimensional space

分类

数理科学

引用本文复制引用

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):151-157,7.

基金项目

Supported by the Programme of Sichuan Province for excellently academic scholars(rst2005-390) (rst2005-390)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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