The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zheng, Bin& Feng, Qinghua. 2014. The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013542
Modern Language Association (MLA)
Zheng, Bin& Feng, Qinghua. The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1013542
American Medical Association (AMA)
Zheng, Bin& Feng, Qinghua. The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013542