The (G′/G)-expansion method for solving the conformable time fractional Hirota-Satsuma coupled KdV system

Abstract

Recently, Kaplan and Bekir have used the exp (−ϕ(ξ)) method to extract the exact solutions of fractional Hirota-Satsuma coupled KdV (FHScKdV) system of equations. In this study, we apply a different technique called a (G′/G) -expansion method proposed by Wang et al in the sense of conformable fractional derivative for finding other novel travelling wave solutions for the same model mentioned above. The obtained results from these two different methods will be compared. The obtained solutions have shown that the proposed method by Wang et al with conformable fractional derivative is efficient and reliable for FHScKdV system.Recently, Kaplan and Bekir have used the exp (−ϕ(ξ)) method to extract the exact solutions of fractional Hirota-Satsuma coupled KdV (FHScKdV) system of equations. In this study, we apply a different technique called a (G′/G) -expansion method proposed by Wang et al in the sense of conformable fractional derivative for finding other novel travelling wave solutions for the same model mentioned above. The obtained results from these two different methods will be compared. The obtained solutions have shown that the proposed method by Wang et al with conformable fractional derivative is efficient and reliable for FHScKdV system.