中文摘要：

考虑到耗散效应和地形外力,Rossby波的振幅可由受迫耗散Boussinesq方程来描述.当包含这两项时,模型比较复杂,不具有Painleve性质.通过将模型双线性化,双线性方法是一个可寻找孤波解和Backlund变换的方法.通过截断的Painleve展开式,得到了将方程双线性化的合适的因变量变换.然后得到了受迫耗散Boussinesq方程的单孤波解和Backlund变换.

英文摘要：

Considering the dissipation effect and topographic forcing, the Rossby waves amplitude can be modeled by a forced dissipative Boussinesq equation. Including both terms, the modeling equation is complicated and doesn＇t possess the Painleve property. The bilinear method is an approach for seeking soliton solntions and Backlund transformation by bilinearizing the investigated equation. Through the truncated Painleve expansion, the suitable dependent; variable transformation for the forced dissipative Boussinesq equation is found to bilinearize the equation. And then, the one-solitary wave solution and Backlund transformation for the equation are obtained.