In this article, we employed the3D-fractional Wazwaz-Benjamin-Bona-Mahony (3D-FWBBM) equation with its spatial and temporal variables which is stretch for the Korteweg-de-Vries equation that represent the unidirectional propagation of small amplitude long waves on the surface of hydro magnetic and acoustic waves in channel specially for shallow water. New exact soliton solution has been realized using the G/G′′−expansion method. Furthermore, the numerical solution of the suggested equation according to the variational iteration method (VIM) is listed effectively. A good comparison between the obtained exact and numerical solution are successfully demonstrated.