- Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Volume:11 Issue:1
- The Double (G^( ^' )/G,1/G)-Expansion Method and Its Applications for Some Nonlinear Partial Differe...
The Double (G^( ^' )/G,1/G)-Expansion Method and Its Applications for Some Nonlinear Partial Differential Equations
Authors : Mustafa EKİCİ, Metin ÜNAL
Pages : 599-608
Doi:10.21597/jist.767930
View : 40 | Download : 26
Publication Date : 2021-03-01
Article Type : Research Paper
Abstract :The double (G^( ^' )/G,1/G)-expansion method is used to find exact travelling wave solutions to the fractional differantial equations in the sense of Jumarie’s modified Riemann- Liouville derivative. We exploit this method for the combined KdV- negative-order KdV equation (KdV-nKdV) and the Calogero-Bogoyavlinskii-Schiff equation (CBS) of fractional order. We see that these solutions are concise and easy to understand the physical phenomena of the nonlinear partial differential equations. These solutions can be shown in terms of trigonometric, hyperbolic and rational functions.Keywords : The double expansion method, the CalogeroBogoyavlinskiiSchiff equation, the combined KdV negative order KdV equation
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