(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

陈进华 ¹字德荣²

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作者信息

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
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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.

Abstract

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

Key words

(3+1)-dimensional space-time fractional Yu-Toda-Sasa-Fukuyama equation/Jumarie's modified Riemann-Liouville derivative/exact solution/polynomial complete discriminant/Jacobi elliptic function

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出版年

2024

红河学院学报

红河学院

红河学院学报

影响因子：0.174

ISSN：1008-9128

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