New exact solutions for the conformable space-time fractional KdV, CDG, (2+1)-dimensional CBS and (2+1)-dimensional AKNS equations

• Main Authors: H. C. Yaslan, A. Girgin
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2019-12-01
• Series: Journal of Taibah University for Science
• Subjects: space-time fractional third order kdv equation; space-time fractional cdg equation; space-time fractional (2+1)-dimensional cbs equation; space-time fractional (2+1)-dimensional akns equation; conformable derivative; $ g'/g^2 $ expansion method
• Online Access: http://dx.doi.org/10.1080/16583655.2018.1515303

In the present paper, $ G'/G^2 $ expansion method is applied to the space-time fractional third order Korteweg-De Vries (KdV) equation, space-time fractional Caudrey-Dodd-Gibbon (CDG) equation, space-time fractional (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation and space-time fractional (2+1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) equation. Here, the fractional derivatives are described in conformable sense. The obtained traveling wave solutions are expressed by the hyperbolic, trigonometric, exponential and rational functions. The graphs for some of these solutions have been presented by choosing suitable values of parameters to visualize the mechanism of the given nonlinear fractional evolution equations.