中文摘要：

运用Fourier变换和扰动方法研究了一类广义阻尼Boussinesq方程初边值问题,在古典空间中得到了这类Boussinesq方程整体解的存在唯一性和形式解的长时间渐近性.

英文摘要：

By means of Fourier techniques and perturbation method, the existence and uniqueness of global solution for a generalized damped Boussinesq equation with initial boundary are established in a classical space. The long time asymptotic behavior of the formal approximation solution is obtained.