This paper studies Kadomtsev-Petviashvili equation with spatio-temporal dispersion and power law nonlinearity. There are several approaches adopted to integrate the equation and display a large spectrum of solutions. These integrability approaches are modified F-expansion, exp-function method, G/G-expansion method, functional variable algorithm, first integral approach, traveling wave hypothesis, and semi-inverse variational principle. The solutions that are recovered by using these approaches carry respective constraint conditions that must remain valid for the solutions to exist.
