A New Fractional Projective Riccati Equation Method for Solving Fractional Partial Differential Equations

In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann-Liouville derivative. This method can be seen as the fractional version of the known projective Riccati equation...

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Bibliographic Details
Published in:Communications in theoretical physics 2014-08, Vol.62 (2), p.167-172
Main Author: Feng, Qing-Hua
Format: Article
Language:English
Subjects:
Derivatives
Exact solutions
Mathematical analysis
Nonlinearity
Partial differential equations
Riccati equation
Theoretical physics
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Summary:In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann-Liouville derivative. This method can be seen as the fractional version of the known projective Riccati equation method. For illustrating the validity of this method, we apply this method to solve the space-time fractional Whitham-Broer-Kaup (WBK) equations and the nonlinear fractional Sharma-Tasso-Olever (STO) equation, and as a result, some new exact solutions for them are obtained.
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/62/2/01