The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations

被引：25

作者：

Zheng, Bin ^{[1
]}

Feng, Qinghua ^{[1
]}

机构：

[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

NONLINEAR EVOLUTION-EQUATIONS; EXP-FUNCTION METHOD; (G'/G)-EXPANSION METHOD; RICCATI EQUATION; WAVE SOLUTIONS;

D O I：

10.1155/2014/249071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on a nonlinear fractional complex transformation, the Jacobi elliptic equation method is extended to seek exact solutions for fractional partial differential equations in the sense of the modified Riemann-Liouville derivative. For demonstrating the validity of this method, we apply it to solve the space fractional coupled Konopelchenko-Dubrovsky (KD) equations and the space-time fractional Fokas equation. As a result, some exact solutions for them including the hyperbolic function solutions, trigonometric function solutions, rational function solutions, and Jacobi elliptic function solutions are successfully found.

引用

页数：9

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