%0 Journal Article
%T (3+1)维时空分数阶偏微分方程mKdV-ZK方程的新精确解<br>New exact solutions for the (3+1)-dimensional space-time fractional mKdV-ZK equation
%A 洪韵
%A 孙峪怀
%A 江林
%A 张雪
%J 四川大学学报 (自然科学版)
%D 2017
%X (3+1)维时空分数阶偏微分方程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的解及其新的展开形式,构建了mKdV-ZK方程系列精确解.<br>It is very important and interesting to construct the exact solutions of the (3+1)-dimensional space-time fractional mKdV-ZK equation.Firstly, by using fractional complex transformation, mKdV-ZK equation was transformed into a nonlinear ordinary deferential equation, and then introducing extends (G'/G)-expansion method to construct the exact solution. A series of new exact solution for mKdV-ZK equations have been obtained
%K 扩展的(G'/G)-展开法 (3+1)维时空分数阶mKdV-ZK方程 精确解&lt
%K br&gt
%K Extended (G'/G)-expansion method The (3+1)-dimensional space-time fractional mKdV-ZK equation Exact solution
%U http://science.ijournals.cn/jsunature_cn/ch/reader/view_abstract.aspx?file_no=Z160435&flag=1