the jacobi elliptic equation method for solving fractional partial differential equations
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2014
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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.
| Reference Key |
zheng2014abstractthe
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|---|---|
| Authors | ;Bin Zheng;Qinghua Feng |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/249071
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| URL | |
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