Phenomena in physics, plasma physics, optical fibers, chemical physics, fluid mechanics, and many fields are often described by the nonlinear evolution equations. The analytical solutions of these equations are very important to understand the evaluation of the physical models. In this paper, the Boiti-Leon-Manna-Pempinelli (BLMP) nonlinear partial differential equation, which can be used to describe the incompressible fluid flow, is analytically studied by using the five different techniques which are direct integration, (G' / G)-expansion method, different form of the (G' / G)-expansion method, two variable (G' / G, 1 / G)-expansion method, and (1 / G')- expansion method. Hyperbolic, trigonometric and rotational forms of solutions are obtained. Our solutions are reduced to the well-known solutions found in the literature by as-signing the some special values to the constants appeared in the analytic solutions. Moreover, we have also obtained the new analytic solutions of the BLMP equation.