中文摘要：

通过两个步骤,构造了广义Zakharov-Kuzentsov方程的无穷序列类孤子新解。利用首次积分与函数变换,把一种非线性常微分方程转化为几种常用的辅助方程,并获得了几种常用辅助方程的新解、Backlund变换和解的非线性叠加公式。借助一系列的变换与符号计算系统Mathematica,构造了广义Zakharov-Kuzentsov方程的无穷序列类孤子新解。

英文摘要：

By two steps, the new infinite sequence soliton-like solution of the Generalized Zakharov- Kuzentsov equation was structured. Using the trick of the first integral and functional transformation, a kind of nonlinear ordinary differential equation was changed to some kinds of common auxiliary equations, and the new solutions of some common auxiliary equations, the Backlund transformation and nonlinear superposition formula of solutions were obtained. With the help of a sequence of transformations and the symbolic computation system Mathematica, the new infinite sequence soliton-like solution of the generalized Zakharov-Kuzentsov equation was structured.