  The present paper is concerned with the existence of solitary wave solutions
of Rosenau-type equations. By using two standard theories, Normal Form Theory
and Concentration-Compactness Theory, some results of existence of solitary
waves of three different forms are derived. The results depend on some
conditions on the speed of the waves with respect to the parameters of the
equations. They are discussed for several families of Rosenau equations present
in the literature. The analysis is illustrated with a numerical study of
generation of approximate solitary-wave profiles from a numerical procedure
based on the Petviashvili iteration.
