Affiliation:
1. School of Science, Shandong University of Technology, Zibo, Shandong 255049, China
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.
Funder
Natural Science Foundation of Shandong Province
Subject
Applied Mathematics,Analysis
Cited by
27 articles.
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