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.
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.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2017年第4期679-682,共4页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金(11371267)
四川省教育厅自然科学重点基金(2012ZA135)
