Abstract
This work studies a new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation analytically. This model is a version of the Kadomtsev-Petviashvili equation that addresses shallow water waves in (2+1)-dimensions. Based on the Lie group method, the symmetry reductions and traveling wave reduction are obtained. Finally, explicit solitons including the soliton solutions are constructed by a couple of integration methods, which are the power series approach, subsidiary ordinary differential equation scheme, and the sine-Gordon expansion method.