In this work we consider a generalized Ostrovsky equation depending on
two arbitrary functions and we make an in-depth study of this equation.
We obtain the Lie symmetries which are admitted by this equation and
some exact solutions as a periodic or solitary waves, obtained through
ordinary and partial differential equations. Also, by means of the
concept of multiplier, we obtain a wide range of conservation laws which
preserve properties of the generalized Ostrovsky equation.