In this paper, the unified, improved Riccati sub-equation and modified Kudryashov methods are used to construct travelling wave solutions of the Benjamin-Bona-Mahony-Peregrine equation with power law nonlinearity (BBMP equation with power law nonlinearity). Several solutions are determined including soliton wave solutions, solitary wave solutions, elliptic wave solutions and periodic wave solutions. Itis shown that these methodologies are very powerful mathematical tools for obtaining exact travelling wave solutions of nonlinear evolution equations.
