The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
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 solv...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/249071 |
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| _version_ | 1850158037192409088 |
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| author | Bin Zheng Qinghua Feng |
| author_facet | Bin Zheng Qinghua Feng |
| author_sort | Bin Zheng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-5f7dcf0b20154558878a5703b88695fd |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5f7dcf0b20154558878a5703b88695fd2025-08-20T02:24:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/249071249071The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential EquationsBin Zheng0Qinghua Feng1School of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaSchool of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaBased 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.http://dx.doi.org/10.1155/2014/249071 |
| spellingShingle | Bin Zheng Qinghua Feng The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations Abstract and Applied Analysis |
| title | The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations |
| title_full | The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations |
| title_fullStr | The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations |
| title_full_unstemmed | The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations |
| title_short | The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations |
| title_sort | jacobi elliptic equation method for solving fractional partial differential equations |
| url | http://dx.doi.org/10.1155/2014/249071 |
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