Abstract
In this paper, the auxiliary expansion equation method is applied to compute the analytical wave solutions for (3+1)-dimensional Boussinesq and Kadomtsev-Petviashvili (KP) equations. A simple transformation is carried out to reduce the set of nonlinear partial differential equations (NPDEs) into ODEs. These obtained results hold numerous traveling wave solutions that are of key importance in elucidating some physical circumstance.