中文摘要：

基于Bell多项式构造了变系数Gardner—KP方程的双线性形式，利用摄动展开法得到了方程的单孤立波解、双孤立波解及多孤立波解，并对单孤立波的特征进行了分析。根据双线性方程推导了变系数Gardner-KP方程带有参数的Bell多项式型和双线性形式的Backlund变换。

英文摘要：

Based on Bell polynomials, the bilinear form of variable-coefficient Gardner-KP equation is constructed. Single, double and multiple solitary wave solutions of the equation are obtained using the perturbation expansion method, and the characteristics of single solitary wave are analyzed. Based on the bilinear equation, Backlund transformations of Bell polynomials with parameters and bilinear form of the variable-coefficient Gardner-KP equation are derived.