西北师范大学学报（自然科学版）2017，Vol.53Issue(6)：27-32,6.DOI:10.16783/j.cnki.nwnuz.2017.06.006
(3+1)维时空分数阶mKdV-ZK方程的精确解
The exact solutions of the (3+1)-dimensional space-time fractional mKdV-ZK equation
摘要
Abstract
By means of a fractional sub-equation and the modified Riemann-Liouville fractional derivative,based on the extended (G'/G)-extended expansion method,a new method is introduced for seeking exact solutions of fractional differential equation.To illustrate the effectiveness of the method,(3+1)-dimensional space-time fractional mKdV-ZK equation is discussed,many types of exact solutions are obtained,these solutions include hyperbolic function,trigonometric and so on.关键词
修正的Riemann-Liouville分数阶导数/(3+1)维时空分数阶mKdV-ZK方程/精确解Key words
modified Riemann-Liouville fractional derivative/(3 + 1)-dimensional space-time fractional mKdV-ZK equation/exact solution分类
数理科学引用本文复制引用
赵云梅..(3+1)维时空分数阶mKdV-ZK方程的精确解[J].西北师范大学学报（自然科学版）,2017,53(6):27-32,6.基金项目
国家自然科学基金资助项目(11361023) （11361023）
云南省科技厅项目(2013FZ117) （2013FZ117）
