he’s semi-inverse variational method for the fifth-order integrable equations

In this paper, the nonlinear partial differential equations including the (1 + 1)-dimensional and (2 + 1)-dimensional fifth-order integrable equations are studied by he’s semi-inverse variational method based upon the integration tool. the merits of the presented method is finding the further solutions of the considering problems including soliton, periodic, kink, kink-singular wave solutions. finally, these solutions might play important role in engineering, physics and applied mathematics fields.