Wave solutions of Gilson-Pickering equation

Abstract

In this work, we apply the (1/G')-expansion method to produce the novel soliton solution of the Gilson-Pickering equation. This method is fundamental on homogeneous balance procedure that gives the order of the estimating polynomial-type solution. Also it is based on the appreciate wave transform to reduce the governing equation. The solutions that we obtain are include of hyperbolic, complex and rational functions solutions. Finally, the results are graphically discussed.