(3+1)-维时空分数阶Yu-Toda-Sasa-Fukuyama方程的精确解

Exact Solutions of the(3+1)-Dimensional Space-Time Fractional Yu-Toda-Sasa-Fukuyama Equation

借助Jumarie’s modified Riemann-Liouville导数的性质,将(3+1)-维时空分数阶Yu-Toda-Sasa-Fukuyama方程简化为常微分方程.通过构造一元三次多项式,运用完全判别法得到了(3+1)-维时空分数阶Yu-Toda-Sasa-Fukuyama方程的7组精确解.

By virtue of Jumarie’s modified Riemann-Liouville derivative,the(3+1)-dimensional space-time fractional Yu-Toda-Sasa-Fukuyama equation is simplified to ordinary differential equation.By constructing one variable cubic polynomial,seven groups of exact solutions of(3+1)-dimensional fractional Yu-Toda-Sasa-Fukuyama equation are obtained by using the method of complete discrimination.