Abstract
In this research article, a novel analytical and numerical solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGDK) equation are established by means of Tanh method and 4th order residual power series method (RPSM). Dynamics and shapes of the extracted solutions are shown by constructing 3D surface plots. To better understand the mechanism of the CDGDK equation, 3D surface plots are developed to view the physical illustration of the extracted solutions with the selection of suitable values of the parameter. Comparisons of analytical and approximate solutions indicate that RPSM is very efficacious and reliable approach for exploring nonlinear models appearing in different areas of science and engineering.