中文摘要：

利用第二种椭圆方程的新解和Backlund变换,获得了变系数非线性发展方程的无穷序列类孤子新精确解.在此基础上,借助非线性发展方程的一种形式解和符号计算系统Mathematica,以变系数（2＋1）维BroerKaup方程为应用实例,构造了该方程的无穷序列类孤子新精确解,这些解包括了无穷序列光滑类孤子解和尖峰类孤立子解.

英文摘要：

To search for the infinite sequence soliton-like new exact solutions of nonlinear evolution equations with variable coefficients, new solutions and the B/icklund transformation of the second kind of elliptic equation are presented. Based on this, a formal solution of nonlinear evolution equations is proposed, then the （2＋1）-dimensional Broer-Kaup equation with variable coefficients is chosen as an applicable example and the infinite sequence soliton-like new exact solutions are constructed with the help of symbolic computation system Mathematica including infinite sequence smooth soliton-like solutions and peak soliton-like solutions.