In soliton theory, the Hirota method provides a systematic way of finding one- and two-soliton solutions of nonlinear wave equations without further conditions once the bilinearizing transformation is found. However, for the existence of three-soliton solutions, some additional constraints must be satisfied by the system of equations despite the availability of the bilinearizing transformation. Therefore, systems of equations admitting three-soliton solutions tend to be integrable. We consider a fourth order nonlinear equation describing nonlinear waves and prove that it admits three soliton-solutions. The three-soliton solutions are found and some of its properties are exhibited.