By constructing auxiliary functions, solving nonlinear partial differential equations will be transformed into solving the algebraic equations. By the further application of the Matlab software, we have obtained ten exact travelling wave solutions of the RLW-Boussinesq equation, which contain hyperbolic function, trigonometric function, Jacobi elliptic function, rational function and so on. The properties of some new travelling wave solutions will be shown by some figures.

auxiliary functions method, RLW-Boussinesq equations, exact travelling wave solutions.