中文摘要：

（3＋1）维时空分数阶mKdV-ZK方程精确解的构建重要而令人感兴趣．本文通过含三维空间、一维时间的分数阶复变换将分数阶mKdV-ZK方程转化为非线性常微分方程，再引入新的辅助微分方程解及其新展开形式，构建了mKdV-ZK方程的系列精确解．

英文摘要：

It is very important and interesting to construct exact solutions of the （3＋1）-dimensional space-time fractional mKdV-ZK equation. In this paper, by using fractional complex transformation, the mKdV-ZK equation was transformed into the nonlinear ordinary deferential equation, and then the ex- tends （G＇/G） -expansion method is introduced to construct the exact solution. Finally, a series of new exact solutions for the mKdV-ZK equations are obtained.