Abstract
We aim to investigate a class of generalized KP and BKP equations for which exist abundant exact solutions. The resulting two-wave solutions involve particular phase shifts and wave frequencies generating complexitons. Special reductions of the parameters present concrete examples of phase shifts and wave frequencies. It is also pointed out that the presented equations can be transformed into many well-known equations associated with bilinear forms. Moreover, a class of lump-type solutions is generated through symbolic computations with Maple. Three illustrative examples are given to show the diversity of exact solutions to the introduced equations.