Akademik Veri Yönetim Sistemi
European Physical Journal Plus, cilt.135, sa.8, 2020 (SCI-Expanded)
In this article, the soliton solutions of the Gilson–Pickering equation have been constructed using the sinh-Gordon function method (ShGFM) and (G′/G, 1/G)-expansion method, which are applied to obtain exact solutions of nonlinear partial differential equations. A solution function different from the solution function in the classical (G′/G, 1/G)-expansion method has been considered which are based on complex trigonometric, hyperbolic, and rational solutions. By invoking ShGFM and (G′/G, 1/G)-expansion methods, different traveling wave solutions have been investigated. For the sake of avoiding the complex calculations, the ready package program has been tackled. The comparative analysis of sinh-Gordon function and (G′/G, 1/G)-expansion methods has shown several differences and similarities. A comparative analysis of ShGFM and (G′/G, 1/G)-expansion methods assures that the (G′/G, 1/G)-expansion method has been found to be more intensive, powerful, reliable and effective method for the Gilson–Pickering equation. The graphical illustrations of two-, three-dimensional, and contour graphs have been depicted as well.