(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

作　　者：陈进华 字德荣 CHEN Jin-hua;ZI De-rong(School of Humanities Education,Kunming Vocational and Technical College of Industry,Anning 650300,Yunnan,China;Fuxing Elementary School,Dali 671003,Yunnan,China)

机构地区：[1]昆明工业职业技术学院人文教育学院,云南安宁650300 [2]大理市下关街道福星完小,云南大理671003

出　　处：《红河学院学报》2024年第5期136-140,共5页Journal of Honghe University

摘　　要：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.

关 键 词：(3+1)-维时空分数阶Yu-Toda-Sasa-Fukuyama方程 Jumarie’s modified Riemann-Liouville导数 精确解 多项式完全判别法 JACOBI椭圆函数 

分 类 号：O175.29[理学—数学]