In this paper, we investigate the modified Boussinesq equation
utt−uxx−εuxxxx−3(u2)xx+3(u2ux)x=0.
Firstly, we give a property of the solutions of the equation, that is, if 1+u(x,t) is a solution, so is 1−u(x,t). Secondly, by using the bifurcation method of dynamical systems we obtain some explicit expressions of solutions for the equation, which include kink-shaped solutions, blow-up solutions, periodic blow-up solutions and solitary wave solutions. Some previous results are extended