The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations

Bin Zheng and Qinghua Feng

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:249071

DOI: 10.1155/2014/249071

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