  In this paper we study existence and asymptotic behavior of solitary-wave
solutions for the generalized Shrira equation, a two-dimensional model
appearing in shear flows. The method used to show the existence of such special
solutions is based on the mountain pass theorem. One of the main difficulties
consists in showing the compact embedding of the energy space in the Lesbesgue
spaces; this is dealt with interpolation theory. Regularity and decay
properties of the solitary waves are also established.
